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Greatest Common Multiple (Grade 5)

This worksheet focuses on identifying the greatest common multiple for given sets of numbers, a key concept in Grade 5 number sense.

Grade 5 Math Number SenseGreatest Common Multiple
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Includes

Fill in the BlanksShort AnswerMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.5.OA.B.3

Topics

mathgrade 5greatest common multiplenumber sense
7 sections · Free to use · Printable
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Greatest Common Multiple

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Read each question carefully and determine the greatest common multiple (GCM) for the given numbers. Show your work where indicated.

1. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,  .

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

3. The greatest common multiple (GCM) is the   number that is a multiple of two or more numbers.

4. To find the GCM, you list the   of each number until you find the largest common one.

5. Find the GCM of 6 and 8.

6. Find the GCM of 9 and 12.

7. Find the GCM of 5 and 10.

8. Which of the following is the GCM of 4 and 6?

a

12

b

24

c

2

d

4

9. The GCM of 7 and 14 is:

a

7

b

14

c

21

d

2

10. The greatest common multiple of any two numbers is always larger than both numbers.

T

True

F

False

11. The GCM of 2 and 5 is 10.

T

True

F

False

12. Use the number lines below to help find the GCM of 3 and 4. Circle the common multiples on both lines.

Multiples of 3:

036912151821242730

Multiples of 4:

0481216202428323640

GCM of 3 and 4: