Find the LCM of 12 and 27 using prime factorizations​

Answers

Answer 1

Step-by-step explanation:

Prime Factorization of 12

2 12

2 6

3 3

1

Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is:

12 = 22×31

Prime Factorization of 27

3 27

3 9

3 3

1

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Now multiplying the highest exponent prime factors to calculate the LCM of 12 and 27.

LCM(12,27) = 22×33

LCM(12,27) = 108

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Least Common Multiple of 12 and 27 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 12 and 27, than apply into the LCM equation.

GCF(12,27) = 3

LCM(12,27) = ( 12 × 27) / 3

LCM(12,27) = 324 / 3

LCM(12,27) = 108

Least Common Multiple of 12 and 27 by Listing Multiples

Multiples of 12

12, 24, 36, 48, 60, 72, 84, 96,108

Multiples of 27

27, 54, 81,108

Find the smallest number that is on all of the lists. We have it in bold above.

∴ Least Common Multiple of 12 and 27 is 108

Properties of LCM 12 and 27

(i) The LCM of 27 and 12 is associative

LCM of 12 and 27 = LCM of 27 and 12

Frequently Asked Questions on LCM of 12 and 27

1. What is the LCM of 12 and 27?

Answer: LCM of 12 and 27 is 108.

2. What are the Factors of 12?

Answer: Factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.

3. What are the Factors of 27?

Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.

4. How to Find the LCM of 12 and 27?

Answer:

Least Common Multiple of 12 and 27 = 108

Step 1: Find the prime factorization of 12

12 = 2 x 2 x 3

Step 2: Find the prime factorization of 27

27 = 3 x 3 x 3

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 108 = 2 x 2 x 3 x 3 x 3

Step 4: Therefore, the least common multiple of 12 and 27 is 108.

Answer 2

The LCM (least common multiple) of 12 and 27 using prime factorizations​ would be 108.

Used the concept of least common multiple that states,

The Least common multiple of two or more numbers is the smallest number that is a multiple of two or more numbers.

Given that the two numbers are 12 and 27.

Hence, the prime factorizations​ of 12 and 27 are,

12 = 2 × 2 × 3

27 = 3 × 3 × 3

So, the LCM of 12 and 27 is,

2 × 2 × 3 × 3 × 3

= 108

Learn more about the Least common multiple visits:

brainly.com/question/10749076

#SPJ4

Find The LCM Of 12 And 27 Using Prime Factorizations

Related Questions

11. Chris and 3 friends went out to dinner at their favorite restaurant. They decided to split the bill and
tip equally. If the bill was $80 and they decided to leave a 25% tip, how much would each person pay?
A. $25.00
B. $100.00
C. $60.00
D. $20.00

Answers

Answer:

your answer is D. $20.00

The Stem-and-Leaf Plot shows the distance traveled by Rob's family, in miles per day, to reach their holiday destination. What is the mean for this data?

A. 65 mi. per day
B. 61 mi. per day
C. 68 mi. per day
D. 55 mi. per day

Answers

Answer:61

Step-by-step explanation: Just took test

Use slopes and y intercepts to determine if the lines 3x+3y=-1 and -x+4y-4 are parallel or not

Answers

Answer:

Since slopes are not same therefore lines are not parallel

Step-by-step explanation:

slope of 3x+3y=-1 is -1

slope of  -x+4y-4=0 is 1/4


Can please help me find the slope

Answers

Answer:-3

Step-by-step explanation:

Simon has a bag of candy that he is sharing with 4 friends. If Simon and his friends each got at least 30 pieces of candy, what was the minimum amount of candy in the bag?

Answers

Answer:

Step-by-step explanation:

the minimum amount is

5*30=150 pieces,

we have Simon plus 4 friends

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 8/9.
There are 63 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.​

Answers

If the probability of picking a red marble out of the total 63 is 8/9, then it's reasonable to think that 8/9 of the total number of marbles must be red. So there are likely 8/9 × 63 = 56 red marbles in the bag.

Please help me with this question

Answers

Answer:

A

Step-by-step explanation:

2 (1+n)= - 1n

3 2

2+2n = - n/2

3

2(2+2n) = - 3n

4+4n = - 3n

4 = - 3n - 4n

4= - 7n

n = - 4

7

I will give brainiest to whoever answers correctly !!

Answers

Answer:

Step-by-step explanation:

a) The interest generated over the 9 months is how much the woman paid for use of the money, then:

[tex]I=C.t.i\\C=3000\\t=9\\i=3.5%=0.035\\I=3000.9.0.035=945\\I=945[/tex]

Therefore , the woman paid $945 for the use of the money.

b) The total amount that she repaid the bank is:

[tex]C_{t} =C+I=3000+945=3945\\C_{t} =3945[/tex]

Finally we have that the woman paid $3945 to the bank

PLEASE MARK ME AS BRAINLIEST

A base angle of an isosceles triangle is 27 degrees. What is the measure, in degrees of the vertex angle?

Answers

Answer:

vertex angle is 126°

Step-by-step explanation:

two base angles are 27° which equals 54°

since there are 180° inside a triangle the vertex angle is 180 - 54

Find the value of x for the right triangle.

Answers

Answer:

x= 4.5

Step-by-step explanation:

Please see the attached picture for the full solution.

What is the simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years

Answers

Step-by-step explanation:

SI=prt

p=1000

r=0.05

t=2

SI=1000×0.05×2

SI=100

The simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years is $100.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Given;

principle= $1000

rate= 5%

time= 2years

Substitute the given values in the formula;

Simple Interest =(1000×5×2)/100

   = 10000/100

Simple Interest will be $100

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ5

z
X
Y
34°
28
Х
Plz help

Answers

9514 1404 393

Answer:

  2.  x ≈ 17.74

  3.  x ≈ 16.64

Step-by-step explanation:

The tangent function relates an angle to the opposite and adjacent sides of a right triangle:

  Tan = Opposite/Adjacent

Here, we're looking for the measure of the side opposite the angle, so we can rearrange this relation to ...

  Opposite = Adjacent×Tan

__

2.  x = 32×tan(29°) ≈ 17.74

3.  x = 13×tan(52°) ≈ 16.64

_____

Hopefully, we've given enough decimal places so that you can round to the precision you need.

the pair of figures are similar, find the missing side.

Answers

The missing side is 12. The scale factor is 1/5.

please help me, choose the right one

Answers

The answer would be C. $18

Let me know if you have questions

Hope this helps

Have a great day/night
It is A for sure hope this helps

Can someone help me?

Answers

Answer:

Step-by-step explanation:

Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.

can someone please help me in finding out if this is a function or not?​

Answers

I believe this is a function because there are no overlaps on the x axis

Answer:

yes, it is y=2

Step-by-step explanation:

what is the answer to this word equation? h +(2h - 1000) = 4400

Answers

Answer:

h+2h−1000=4400

Step 1: Simplify both sides of the equation.

h+2h−1000=4400

h+2h+−1000=4400

(h+2h)+(−1000)=4400(Combine Like Terms)

3h+−1000=4400

3h−1000=4400

Step 2: Add 1000 to both sides.

3h−1000+1000=4400+1000

3h=5400

Step 3: Divide both sides by 3.

3h3=54003

h=1800

Answer:

h=1800

Answer:

h = 1800

Step-by-step explanation:

Equations

Solve the following equation:

h + (2h - 1000) = 4400

Remove the parentheses. No changes are done because it doesn't have any operation of multiplication or division:

h + 2h - 1000 = 4400

Joining like terms on the left side:

3h - 1000 = 4400

Adding 1000:

3h = 5400

Dividing by 3:

h = 5400/3 = 1800

h = 1800

A rectangular rug has an area of 38.5 square feet. If the rug is 5 feet wide, what is the length of the rug?

Answers

Answer:

7.7 square feet

Step-by-step explanation:

38.5 divided by 5, equals 7.7.

Hope this helps

Answer:

10

Step-by-step explanation:

80 = l(l - 2) = l2 - 2l. Solve the quadratic to find solutions l = 10 and l = -8. You can't have a negative side, so the length of the rectangle must be 10.

There are 9 players per team. Find the number of players on 7 teams

Answers

you would do 9(7) = 63
63 players, 9x7= 63. Hope this helps

What is a translation

Answers

Answer:

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Step-by-step explanation:

Answer:

A translation is converting another language into English

Step-by-step explanation:

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

t(c)=-3,970(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon-14 remaining is approximately ___ years old.

A fossil that is 7,000 years old will have approximately ___ of its carbon-14 remaining.

Answers

Applying the logarithmic function, it is found that:

A fossil with 47% of its carbon-14 remaining is approximately 2997 years old.A fossil that is 7,000 years old will have approximately 56.71% of its carbon-14 remaining.

The age of a fossil with a proportion c of carbon 14 remaining is given by:

[tex]t(c) = -3970\ln{c}[/tex]

If the fossil has 47% of carbon-14 remaining, we have that [tex]c = 0.47[/tex], and thus:

[tex]t(0.47) = -3970\ln{0.47} = 2997[/tex]

For a fossil that is 7000 years old, we have that [tex]t(c) = 7000[/tex], and hence:

[tex]t(c) = -3970\ln{c}[/tex]

[tex]\ln{c} = -\frac{3970}{7000}[/tex]

[tex]e^{\ln{c}} = e^{-\frac{3970}{7000}}[/tex]

[tex]c = 0.5671[/tex]

A fossil that is 7,000 years old will have approximately 56.71% of its carbon-14 remaining.

A similar problem is given at https://brainly.com/question/23120675

Answer:2998 Years

             17% of carbon

Step-by-step explanation:

edmentum and plato friendly double checked with multiple sources

1. If two polygons are SIMILAR, then the corresponding angles must be _____.

2. If two polygons are SIMILAR, then the corresponding sides must be _____.

3. The composition of two (or more) isometries is always ______

4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

5. A right triangle has a base of 5 ft and a height of 12 ft. A similar triangle has an area of 270 square feet. What are the dimensions of a similar triangle?

Answers

Answer:

1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional

2.If two polygons are SIMILAR, then the corresponding sides must be proportional

3.The composition of two (or more) isometries is always an isometry

4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

3

Step-by-step explanation:

two polygons are similar if corresponding angles are congruent and corresponding sides are proportional

If two polygons are SIMILAR, then the corresponding sides must be proportional

The composition of two (or more) isometries is always an isometry

4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

9/1 = 1/3 so 9/3 = 3

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 432 gram setting. It is believed that the machine is underfilling the bags. A 29 bag sample had a mean of 425 grams with a standard deviation of 26. Assume the population is normally distributed. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

Answers

Answer:

-2.154

Step-by-step explanation:

We are given;

Population mean; μ = 432

Sample mean; x¯ = 425

Sample size; n = 29

standard deviation; σ = 26

Hypothesis is defined as;

Null hypothesis; H0: μ ≥ 432

Alternative hypothesis: Ha: μ < 432

Formula for the test statistic since sample size is less than 30 is;

t = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

t = (425 - 432)/(26/√29)

t = -1.45

Now,we are given significance level of 0.02; our DF = n - 1 = 29 - 1 = 28

From t-table attached, we can see that at DF of 28 and significance value of 0.02, the critical value is 2.154

However, this is a left tailed test as the rejection region is to the left.

Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.154

Share 1 km in the ratio 2:3

Answers

1km = 1000m

2 + 3 = 5
1000/5 = 200

200x2 = 400
200x3 = 600

Answer:
400:600 (in meters)
OR
0.4:0.6 (in kilometres)

I really need help with this problem

Answers

7x3=21
8x2=16
21+16=37
She earned $37 last week.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is Grace.

Step-by-step explanation:

The angle measure for 60 degrees and its corresponding side which measures 14 is greater than the measure of 50 degrees and its corresponding side which measures 12.4. That's correct. The reason Hector was incorrect is because the angle measure for 60 degrees and its corresponding side measured 12.4 was less than the measure of 50 degrees and its corresponding side that measured 14. 60 degrees is greater than 50 degrees, then the corresponding side for the angle that measures 60 degrees should be greater than the corresponding side for the angle that measures 50 degrees.

22. Two automobiles started at the same time from a point, but traveled in
opposite directions. Their rates were 45 and 65 miles per hour respectively.
After how many hours were they 440 miles apart?

Answers

Answer:

4

Step-by-step explanation:

45+65=110

110x4=440

when katilyn went to bed, the temperature was 36^F. when she woke up the next morning, the temperature was -9^F.

Answers

Answer:

it decreased by 45 degrees f

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The change in temperature.

= Final temperature - Initial temperature

The change in temperature is -45°F

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The temperature at the time of bed.

Initial temperature = 36° F

The temperature when she woke up.

Final temperature = -9° F

The change in temperature.

= Final temperature - Initial temperature

= -9 - 36

= 45°F

This means that there was a change of 45°F from the time when she went to bed till the time she woke up.

Thus,

The change in temperature is -45°F

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Which of the following is equivalent to 3(y - 1+ 2y)?
A 6у - 3
B 9y - 3
C Зу – 3
D Зу - 9

Answers

Answer:

b

Step-by-step explanation:

[character limit pass]

B 9y-3

Distribute-
3y-3+6y

Add like terms-
9y-3

Hope this helped! Please mark brainliest

Salve this proportion 15/35=g/7

Answers

g is equivalent to 3
Other Questions
The sandwich shop has 6 employees, but only 3 people need to work at any one time. The manager wants to have a different group of people work together every day for two weeks. Is that possible? Where is the protective covering of the axon? Practice the above directional terms by describing the following relationships: The trachea (windpipe) is ___________ to the esophagus (throat). Hair is ___________ to muscle. The thumb is ___________ to the ring finger. The heart is ___________ to the lungs. The ear is ___________ to the eye. The abdomen is ___________ to the thorax. Thigh muscles are ___________ to the femur (thigh bone). Skin is ___________ to skeletal muscles. The shoulder is ___________ to the elbow. The hand is ___________ to the elbow. The rib cage is ___________ to the upper arm. Write a sentence using the word unique Use the Distributive Property to solve the equation. 4x - 2(x - 3) = -4 + 5x - 5 A 25-foot flagpole casts a 35-foot shadow. A nearby tree stands 15 feet tall. What is thelength of its shadow? What part of the treaty of Versailles was most damaging to Germanys economy? A. The depleted military B. The blame and guilt C. The reparations D. The inability to ally with Austria The specific rotation of (R) carvone is (+) 61. The optical rotation of a sample of a mixture of R &S carvone is measured as (-) 23. Which enantiomer is in excess and what is its enantiomeric excess? What are the percentages of (R) - & (S) - carvone in the sample formulas for volume what is the cure of this pandemic when a number, n, is increased by two and then the result is divided by five the quotient is equal to 14. write an equation and solve it to find the value of n.NEED STEP BY STEP EXPLANATION PLEASE HELP PRETTY PLEASE ITS DUE IN 10 MIN!!! Determine the domain and the range of the function. f = {(15,0 ),(16,-3),(44,0 ),(59,10 )} Differentiate the function with respect to xf(x)= x^4/ x^2- 4Show work What is the constant of proportionality in the equation y 2.50?constant of proportionality Oriole Company purchased machinery on January 1, 2020, for $96,000. The machinery is estimated to have a salvage value of $9,600 after a useful life of 8 years. Required:a. Compute 2020 depreciation expense using the straight-line method.b. Compute 2017 depreciation expense using the double-declining-balance method, assuming the machinery was purchased on October 1, 2017. Solve for x- 1/5 (x 4) = -2Enter your answer in the box.x = What is the best summary of pages 61-62 of blood on the river? Find an equation of the line with the given y-intercept and slope m.4.2, m = -3.7The equation of the line is 0.(Type your answer in slope-intercept form.) What was problematic about including gentleman in the party of settlers seeking to settle jamestown Which of the following points is a solution of 3x-y= -2