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LCM and GCF Practice Worksheet

Practice finding the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of numbers for Grade 5 Math.

Grade 5 Math Number SenseNumber TheoryLCM and GCF
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Includes

2 Short Answer2 Fill in the Blanks2 Multiple Choice2 True / False

Standards

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

Topics

mathgrade 5lcmgcfnumber sense
10 sections · Free to use · Printable
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LCM and GCF Practice

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show your work for full credit.

1. List the first five multiples of 4 and 6.

Multiples of 4:  

Multiples of 6:  

What is the Least Common Multiple (LCM) of 4 and 6?

2. The LCM of 3 and 5 is  .

3. The LCM of 8 and 12 is  .

4. The LCM of 7 and 2 is  .

5. List all the factors of 18 and 24.

Factors of 18:  

Factors of 24:  

What is the Greatest Common Factor (GCF) of 18 and 24?

6. The GCF of 10 and 15 is  .

7. The GCF of 21 and 35 is  .

8. The GCF of 16 and 40 is  .

9. Which of the following is the LCM of 9 and 12?

a

3

b

18

c

36

d

72

10. Which of the following is the GCF of 30 and 45?

a

5

b

15

c

30

d

90

11. The LCM of two prime numbers is always their product.

T

True

F

False

12. The GCF of two numbers is always less than or equal to the smaller of the two numbers.

T

True

F

False