Least Common Multiple (LCM) and Greatest Common Factor (GCF) Practice

A Grade 6 math worksheet focusing on finding the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of numbers.

Grade 6 Math Number SenseNumber TheoryLCM and GCF

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / FalseCustom

Standards

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

Topics

mathgrade 6lcmgcfnumber sensenumber theory

9 sections · Free to use · Printable

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Least Common Multiple (LCM) and Greatest Common Factor (GCF)

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Read each question carefully and follow the instructions to find the Least Common Multiple (LCM) or Greatest Common Factor (GCF) of the given numbers. Show your work where applicable.

1. Find the Greatest Common Factor (GCF) of 12 and 18.

2. What is the GCF of 24 and 36?

3. Determine the GCF of 15, 25, and 30.

4. Find the Least Common Multiple (LCM) of 4 and 6.

5. What is the LCM of 8 and 12?

6. Determine the LCM of 3, 5, and 10.

7. Which of the following is the GCF of 20 and 30?

8. What is the LCM of 7 and 9?

9. The GCF of two prime numbers is always .

10. The LCM of two prime numbers is their .

11. To find the GCF, you look for the factors common to both numbers.

12. The GCF of 6 and 10 is 2.

True

False

13. The LCM of 2 and 3 is 5.

True

False

14. Hot dogs come in packs of 10 and hot dog buns come in packs of 8. What is the least number of hot dogs and buns you can buy so that you have the same number of each?

15. A baker has 18 chocolate chip cookies and 24 oatmeal cookies. She wants to arrange them into plates such that each plate has the same number of chocolate chip cookies and the same number of oatmeal cookies. What is the greatest number of plates she can make?

16. Use a Venn Diagram to find the GCF and LCM of 12 and 30.