Worksheets for lcm and hcf with example

Worksheet: LCM and HCF Practice

Problem 1: LCM

Find the LCM of the following numbers:

a) 12 and 18

b) 8 and 15

c) 24 and 36

Solution 1: LCM

a) LCM (12, 18) = 36

b) LCM (8, 15) = 120

c) LCM (24, 36) = 72

Problem 2: HCF

Find the HCF of the following numbers:

a) 30 and 45

b) 24 and 36

c) 48 and 60

**Solution 2: HCF**

a) HCF (30, 45) = 15

b) HCF (24, 36) = 12

c) HCF (48, 60) = 12

Problem 3: LCM and HCF

Find both the LCM and HCF of the following pairs of numbers:

a) 16 and 20

b) 27 and 63

c) 40 and 50

Solution 3: LCM and HCF

a) LCM (16, 20) = 80, HCF (16, 20) = 4

b) LCM (27, 63) = 189, HCF (27, 63) = 9

c) LCM (40, 50) = 200, HCF (40, 50) = 10

Problem 4: Word Problems

1. Maya is making necklaces using beads of 15 and 20 in alternate patterns. How many beads will she need for the 6th necklace?

2. Alex has 36 chocolate bars, and Kate has 48 chocolate bars. They want to distribute these bars equally among their friends. How many friends can they distribute the bars to, such that no bars are left?

Solution 4: Word Problems

1. The pattern is 15, 20, 15, 20, and so on. The LCM of 15 and 20 is 60. For the 6th necklace, Maya will need 60 beads.

2. The HCF of 36 and 48 is 12. They can distribute the bars to 12 friends, and no bars will be left.

Feel free to use these problems for practice and let me know if you need more examples or assistance with any particular concept!