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Finding the Least Common Multiple - Printable Mathematics Worksheets year 6 - Wayground

Finding the Least Common Multiple

22 questions

6th - 6th Grade

Mathematics

This Grade 6 mathematics worksheet helps students find the least common multiple (LCM) of pairs of whole numbers. It includes 18 multiple-choice questions, 2 math-response questions, and 2 fill-in-the-blank questions covering LCM identification, the meaning of the abbreviation, and pairs such as 4 and 10, 8 and 18, and 12 and 10. Students also apply LCM reasoning to identify a common denominator for two fractions, connecting whole-number multiples to fraction work. The varied response formats give learners practice selecting an answer, calculating an LCM independently, and recording a result. This free printable worksheet with an answer key is designed for Grade 6 math practice, independent work, review, or a quick check of students’ understanding of LCM.

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Worksheets

Finding the Least Common Multiple

Total questions: 22

Name
Class
Date
1.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
2.

Find the least common multiple (LCM) of 2 and 3.

a)

2

b)

3

c)

6

d)

12

3.
Least common multiple of 3 and 9? 
a)
9
b)
3
c)
27
d)
18 
4.

What is the Least Common Multiple of 4 and 14

a)

28

b)

42

c)

56

d)

24

5.
What is the Lowest Common Multiple (LCM) for the numbers
8 and 6?
6.
What is the least common multiple (LCM) of 3 and 20?
7.

What is the least common multiple of 6 and 12?

a)

2

b)

12

c)

24

d)

36

8.

What is the least common multiple of 2 and 11?

a)

11

b)

110

c)

22

d)

44

9.

What is the least common multiple of 10 and 15?

a)

30

b)

45

c)

60

d)

150

10.

What is the Least Common Multiple of 12 and 10?

a)

22

b)

44

c)

120

d)

60

11.

What is the LCM of 5 and 7?

a)

35

b)

5

c)

7

d)

30

12.
LCM stands for
a)
Least correct multiple
b)
Latest common multiple
c)
Least common multiple
d)
Laser classroom mouse
13.

Find the LCM of 16 and 12

(a)  

14.

Find the LCM of 8 and 18

(a)  

15.
What number could be a common denominator for these two fractions?
3/10   and   1/5
a)
5
b)
10
c)
15
d)
These numbers do not have a common denominator
16.
What number could be a common denominator for these two fractions?
1/5   and   5/6?
a)
30
b)
11
c)
6
d)
5
17.
Fill in the missing multiple.
3:  3, 6, 9, ___, 15, 18, 21
a)
10
b)
11
c)
12
d)
13
18.
Which number is a multiple of 5?
a)
16
b)
29
c)
40
d)
32
19.

Calculate the least common multiple of 9 and 15.

a)

30

b)

24

c)

18

d)

45

20.

Determine the least common multiple of 10 and 25.

a)

30

b)

20

c)

50

d)

15

21.

What is the least common multiple of 14 and 21?

a)

28

b)

56

c)

35

d)

42

22.

Calculate the least common multiple of 20 and 30.

a)

50

b)

40

c)

70

d)

60

Answer Key

Finding the Least Common Multiple

Total questions: 22

1.
d) 20
2.
c)

6

3.
a) 9
4.
a)

28

5.

2424

6.

6060

7.
b)

12

8.
c)

22

9.
a)

30

10.
d)

60

11.
a)

35

12.
c) Least common multiple
13.
48
14.
72
15.
b) 10
16.
a) 30
17.
c) 12
18.
c) 40
19.
d)

45

20.
c)

50

21.
d)

42

22.
d)

60

FAQs

What does the Finding the Least Common Multiple worksheet cover?

This Grade 6 math worksheet focuses on finding the least common multiple of two whole numbers through 18 multiple-choice questions, 2 math-response questions, and 2 fill-in-the-blank items. Students identify LCMs for number pairs, recognize what LCM means, and apply the skill to choose a common denominator for 3/10 and 1/5. The varied formats require students to recognize, calculate, and record LCMs rather than rely on one response type.

How can I use this worksheet to teach students to find the LCM?

Introduce LCM as the smallest number that is a multiple of both numbers, then model one pair before students work through the worksheet’s multiple-choice items. Ask students to explain why an option is the least common multiple, especially when one number is already a multiple of the other, as with 6 and 12. Finish by discussing how the LCM of 10 and 5 provides a common denominator for the fraction question.

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

Students may choose a common multiple that is not the least one, such as selecting a larger multiple when a smaller shared multiple exists. They may also select one of the original numbers without checking whether it is a multiple of both numbers, or confuse the meaning of LCM with another phrase. In the fraction item, watch for students choosing 5 instead of 10 as a common denominator for 3/10 and 1/5.

How do I assign and grade this Finding the Least Common Multiple worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 22 questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also supports classrooms that are reducing screen time while students practise LCM calculations.

How can I differentiate this LCM worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the LCM number-pair questions and response areas are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate. These options modify the worksheet file while preserving its multiple-choice, math-response, and fill-in-the-blank format.

Where can I find more free worksheets from Wayground?

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