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LCM and GCF - Printable Mathematics Worksheets class 5 - Wayground

LCM and GCF

20 questions

5th - 5th Grade

Mathematics

This Grade 5 mathematics worksheet gives students 20 multiple-choice questions on finding least common multiples (LCMs), greatest common factors (GCFs), and factors of whole numbers. Students identify LCMs such as the LCM of 4 and 9, determine GCFs such as the GCF of 12 and 30, and select complete factor lists for numbers including 12 and 25. The worksheet also connects these skills to practical reasoning. Students use LCMs to solve recurring-event problems involving clocks and newsletters, and use GCFs to determine the greatest number of equal bouquets that can be made. These varied items help Grade 5 learners distinguish when to use an LCM or GCF and recognize factors accurately. It is a free printable worksheet with a complete answer key for independent practice, review, or assessment.

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Worksheets

LCM and GCF

Total questions: 20

Name
Class
Date
1.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
2.
What is the least common multiple (LCM) of 2 and 3?
a)
6
b)
8
c)
20
d)
10
3.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
4.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
5.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
6.
GCF of 10 and 12
a)
5
b)
2
c)
3
d)
6
7.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
8.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
9.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5,  25
c)
1, 25
d)
1, 5
10.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
11.
What is the least common multiple (LCM) of 4 and 9?
a)
12
b)
36
c)
27
d)
9
12.
 Find the GCF of each set of numbers. 
50, 40
a)
5
b)
2
c)
10
d)
8
13.
 Find the GCF of each set of numbers. 
12, 30 
a)
4
b)
2
c)
5
d)
6
14.
Find the LCM of each set of numbers. 
 3, 5 
a)
15
b)
20
c)
30
d)
33
15.
Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again? 
a)
80 days
b)
40 days
c)
50 days
d)
60 days
16.
GCF of 5 and 35
a)
7
b)
5
c)
2
d)
35
17.
GCF of 8 and 20
a)
8
b)
2
c)
4
d)
10
18.
GCF 15 and 33
a)
15
b)
3
c)
11
d)
5
19.
GCF of 16 and 40
a)
4
b)
8
c)
2
d)
10
20.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

Answer Key

LCM and GCF

Total questions: 20

1.
c) 20
2.
a) 6
3.
d) 20
4.
d) 24
5.
c) 6
6.
b) 2
7.
a) 1, 2, 3, 4, 6, 12
8.
d) 75 minutes
9.
b) 1, 5,  25
10.
d) 8
11.
b) 36
12.
c) 10
13.
d) 6
14.
a) 15
15.
b) 40 days
16.
b) 5
17.
c) 4
18.
b) 3
19.
b) 8
20.
b)

6

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FAQs

What does the LCM and GCF worksheet cover?

This Grade 5 worksheet uses 20 multiple-choice questions to practice finding least common multiples, greatest common factors, and complete factor lists. Students apply LCMs to recurring-event problems, such as clocks chiming together and newsletters arriving on the same day, and apply GCFs to equal-group problems such as making identical bouquets.

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

Introduce factors first by having students identify factor pairs and complete factor lists, then model how the least common multiple differs from the greatest common factor. Use the direct computation questions before discussing the clock, newsletter, and bouquet scenarios, asking students to explain why a repeating-event problem calls for an LCM while an equal-group problem calls for a GCF.

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

Students may choose a common multiple that is not the least one, or a common factor that is not the greatest one. They may also omit factors from a complete list, include numbers such as 5 as a factor of 12, or use GCF reasoning for the recurring clock and newsletter situations instead of finding an LCM.

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

The worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key included for checking the 20 multiple-choice responses. For printable submissions, teachers can scan student work with the Wayground for Teachers app to grade it efficiently.

How can I differentiate this LCM and GCF worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the LCM, GCF, and factor-list choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate for your learners.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, including downloadable PDFs and answer keys to support essential skill development. Browse more resources at https://wayground.com/en-us/worksheets.

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