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LCM and GCF review - Printable Mathematics Worksheets class 6 - Wayground

LCM and GCF review

19 questions

6th - 6th Grade

Mathematics

LCM and GCF review is a Grade 6 mathematics worksheet that helps students find the greatest common factor and least common multiple of pairs of whole numbers. Across 19 multiple-choice questions, students determine GCF values such as those for 12 and 36, then solve LCM problems involving pairs such as 18 and 24, 32 and 40, and 45 and 72. The answer choices provide a focused review of selecting the correct factor or multiple rather than completing extended written calculations. Use this free printable worksheet with students who are learning, reviewing, or checking their understanding of GCF and LCM. It works well for independent practice, homework, a math-center activity, or a quick assessment after instruction on factors and multiples. A complete answer key is included so teachers can check student work efficiently and identify whether errors come from confusing the two concepts or choosing an incorrect numerical result.

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Worksheets

LCM and GCF review

Total questions: 19

Name
Class
Date
1.

Find the GCF of 12 and 36

a)

12

b)

4

c)

9

d)

6

2.

Find the GCF of 21 and 42

a)

7

b)

6

c)

21

d)

3

3.

Find the GCF of 12 and 30

a)

12

b)

2

c)

5

d)

6

4.

Find the GCF of 24 and 45

a)

9

b)

3

c)

5

d)

6

5.

Find the GCF of 25 and 40

a)

5

b)

8

c)

2

d)

10

6.

Find the GCF of 15 and 45

a)

3

b)

5

c)

15

d)

30

7.

Find the LCM of 18 and 24

a)

48

b)

36

c)

72

d)

432

8.

Find the LCM of 14 and 21

a)

28

b)

42

c)

7

d)

294

9.

Find the LCM of 30 and 36

a)

60

b)

72

c)

180

d)

1080

10.

Find the LCM of 3 and 8

a)

3

b)

16

c)

24

d)

72

11.

Find the LCM of 9 and 12

a)

3

b)

18

c)

36

d)

72

12.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
13.
What is the LCM of 32 and 40?
a)
180
b)
160
c)
140
d)
200
14.
What is the LCM of 45 and 72?
a)
72
b)
3,240
c)
360
d)
260
15.
LCM of 7 and 4
a)
12
b)
32
c)
56
d)
28
16.
GCF of 15 and 35
a)
15
b)
3
c)
7
d)
5
17.
GCF of 10 and 50
a)
10
b)
2
c)
5
d)
50
18.
GCF of 36 and 99
a)
9
b)
6
c)
11
d)
4
19.
GCF of 12 and 28
a)
3
b)
6
c)
2
d)
4
Answer Key

LCM and GCF review

Total questions: 19

1.
a)

12

2.
c)

21

3.
d)

6

4.
b)

3

5.
a)

5

6.
c)

15

7.
c)

72

8.
b)

42

9.
c)

180

10.
c)

24

11.
c)

36

12.
c) 12
13.
b) 160
14.
c) 360
15.
d) 28
16.
d) 5
17.
a) 10
18.
a) 9
19.
d) 4

FAQs

What does the LCM and GCF review worksheet cover?

This Grade 6 math worksheet uses 19 multiple-choice questions to practice finding the greatest common factor and least common multiple of pairs of whole numbers. Students select the correct GCF or LCM for examples such as 12 and 36, 18 and 24, and 45 and 72, building accuracy in distinguishing shared factors from shared multiples.

How can I use this worksheet to teach GCF and LCM?

Introduce the worksheet by having students explain what makes a number a common factor versus a common multiple, then model one GCF item and one LCM item. As students complete the multiple-choice questions, ask them to justify an answer by listing factors for a GCF problem or checking multiples for an LCM problem before discussing why the other choices are incorrect.

What mistakes should I watch for when students complete this GCF and LCM worksheet?

Students may confuse GCF and LCM and choose a small shared factor for an LCM question or a large common multiple for a GCF question. They may also select a number that is related to only one value, such as choosing 12 without checking both numbers, or mistake the product of the pair for the least common multiple.

How do I assign and grade this LCM and GCF worksheet?

On Wayground, assign the worksheet as a printable PDF or as a digital quiz, and use the complete answer key to check the 19 multiple-choice responses. For printable submissions, scan student work with the Wayground for Teachers app to support faster grading and review.

How can I differentiate this GCF and LCM multiple-choice worksheet?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the multiple-choice questions and answer options easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students practice selecting GCF and LCM values.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.