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Greatest Common Multiple (Grade 7)

A worksheet for 7th graders focusing on finding the greatest common multiple of given numbers, including problem-solving.

Grade 7 Math Number SenseGreatest Common Multiple
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.6.NS.B.4

Topics

mathgrade 7greatest common multiplenumber sense
7 sections · Free to use · Printable
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Greatest Common Multiple Worksheet

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Read each question carefully and find the Greatest Common Multiple (GCM) for the given numbers. Show your work where necessary.

1. The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...

The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ...

The Greatest Common Multiple of 4 and 6 is  .

2. List the first five multiples of 8:  

List the first five multiples of 12:  

The Greatest Common Multiple of 8 and 12 is  .

3. Which of the following is the Greatest Common Multiple of 3 and 5?

a

15

b

30

c

10

d

5

4. What is the GCM of 7 and 14?

a

7

b

14

c

28

d

42

5. Two buses leave the station at the same time. Bus A returns to the station every 20 minutes, and Bus B returns every 25 minutes. After how many minutes will both buses be at the station at the same time again?

6. The Greatest Common Multiple of any two prime numbers is always their product.

T

True

F

False

7. The GCM of 10 and 15 is 30.

T

True

F

False

8. Find the Greatest Common Multiple of 6, 8, and 12.