HCF and LCM worksheets with answers

Cambridge IGCSE 0580

Find the highest common factor and lowest common multiple of numbers, and write numbers as products of prime factors.

Sample sheet

HCF and LCM, Standard

Name Date

1
Find the lowest common multiple (LCM) of $10$ and $38$ .
[3]
Scan for help
2
Write $86$ as a product of its prime factors. Give your answer in index form.
[3]
Scan for help
3
Find the lowest common multiple (LCM) of $20$ and $22$ .
[3]
Scan for help
4
Write $51$ as a product of its prime factors. Give your answer in index form.
[3]
Scan for help
5
Find the lowest common multiple (LCM) of $32$ and $11$ .
[3]
Scan for help
6
Find the highest common factor (HCF) of $18$ and $27$ .
[3]
Scan for help

Answers

HCF and LCM, Standard

1 $190$
2 $2 \times 43$
3 $220$
4 $3 \times 17$
5 $352$
6 $9$

Method in brief

Write each number as a product of primes. The HCF takes the smaller power of each shared prime, and the LCM takes the larger power of every prime that appears.

Learn the method

Stuck on a question?

Scan the code beside a question to get help with it.

Open the tutor

More worksheets

HCF and LCM worksheets with answers

Cambridge IGCSE 0580

Find the highest common factor and lowest common multiple of numbers, and write numbers as products of prime factors.

Sample sheet

HCF and LCM, Standard

Name Date

1
Find the lowest common multiple (LCM) of $10$ and $38$ .
[3]
Scan for help
2
Write $86$ as a product of its prime factors. Give your answer in index form.
[3]
Scan for help
3
Find the lowest common multiple (LCM) of $20$ and $22$ .
[3]
Scan for help
4
Write $51$ as a product of its prime factors. Give your answer in index form.
[3]
Scan for help
5
Find the lowest common multiple (LCM) of $32$ and $11$ .
[3]
Scan for help
6
Find the highest common factor (HCF) of $18$ and $27$ .
[3]
Scan for help

Answers

HCF and LCM, Standard

1 $190$
2 $2 \times 43$
3 $220$
4 $3 \times 17$
5 $352$
6 $9$

Method in brief

Write each number as a product of primes. The HCF takes the smaller power of each shared prime, and the LCM takes the larger power of every prime that appears.

Learn the method

Stuck on a question?

Scan the code beside a question to get help with it.

Open the tutor