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LCM and GCF Practice Worksheet

A Grade 8 math worksheet focusing on finding the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of numbers.

Grade 8 Math Number SenseNumber TheoryLCM and GCF
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

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

Topics

mathgrade 8lcmgcfnumber theory
7 sections · Free to use · Printable
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LCM and GCF Practice

Name:

Date:

Score:

Read each question carefully and provide the correct answer. Show your work where applicable.

1. The   is the smallest positive integer that is a multiple of two or more integers.

2. The   is the largest positive integer that divides each of the integers.

3. What is the GCF of 12 and 18?

a

2

b

3

c

6

d

36

4. What is the LCM of 8 and 10?

a

2

b

40

c

80

d

160

5. Find the GCF of 24, 36, and 48.

6. Find the LCM of 6, 9, and 12.

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

T

True

F

False

8. The GCF of two numbers is always less than or equal to both numbers.

T

True

F

False

9. Two bells ring at intervals of 15 minutes and 20 minutes respectively. If they both ring at 10:00 AM, when will they next ring together?

10. A gardener has 45 tomato plants and 60 pepper plants. He wants to arrange them in rows such that each row has the same number of plants and contains only one type of plant. What is the greatest number of plants he can put in each row?