Worksheet: Finding the Least Common Multiple of Two or More Numbers

In this worksheet, we will practice finding the least common multiple of two or more numbers and using this to solve problems in the real world.

Q1:

Find the LCM of the numbers and .

Q2:

Find the LCM of the numbers and .

Q3:

What is the least common multiple of 7 and 5?

Q4:

What is the least common multiple of 4 and 6?

Q5:

Find the LCM of 4 and 15.

A 23
B 19
C 57
D 60

Q6:

Find the LCM of 16 and 20.

A 320
B 36
C 52
D 80
E 108

Q7:

Find the LCM of 15 and 46.

A 76
B 61
C 183
D 690

Q8:

Find the LCM of 32 and 39.

A 103
B 71
C 213
D
1 248

Q9:

Find the LCM of 49 and 28.

A
1 372
B 77
C 126
D 196
E 231

Q10:

Find the LCM of , and 4.

Q11:

Find the LCM of 4, 6, and 49.

Q12:

Find the LCM of 6, 15, and 40.

Q13:

Find the LCM of , and 130.

Q14:

Find the LCM of , and 140.

Q15:

Find the two numbers whose LCM is 45 and sum is 54.

A 18 and 90
B 18 and 36
C 10 and 47
D 9 and 45

Q16:

List the next five common multiples after the LCM of 4 and 9.

A2, 4, 6, 8, 10
B36, 72, 108, 144, 180
C2, 3, 4, 5, 6
D72, 108, 144, 180, 216
E72, 144, 216, 288, 360

Q17:

Write three numbers that have an LCM of 210.

A2, 7, 21
B5, 15, 21
C2, 15, 5
D2, 15, 21
E2, 5, 7

Q18:

A quarter moon occurs every 15 days. If the last quarter moon occurred on a Monday, how many days will pass before a quarter moon occurs again on a Monday?

Q19:

The FIFA world Cup takes place every 4 years, and the US census is taken every 10 years; both took place in 2010. When is the next year in which both events will happen?

A2050
B2020
C2024
D2030
E2014

Q20:

Victoria goes to the library every 6 weeks. Scarlett goes to the same library every 7 weeks. If they met at the library one day, how long would it be before both of them are at the library in the same week again?

Q21:

David is printing green and yellow stickers. He noticed that a page can fit 6 green stickers or 8 yellow ones. If he wants to print the exact same number of green and yellow stickers, what is the least number of green stickers he could print?

Q22:

Every 3 years, Huntington School hosts the state gymnastics competition. Every 7 years, it hosts the state maths competition. If the last time the school hosted both events in the same year was in 2003, in what year will the school host both events in the same year again?

A2010
B2013
C2023
D2024
E2020