Calculate the Common Multiples

In this worksheet, students will find the common multiples of a variety of numbers, using knowledge of their multiplication tables.

Key stage:  KS 2

Curriculum topic:   Number: Addition, Subtraction, Multiplication and Division

Curriculum subtopic:   Identify Common Factors, Multiples and Prime Numbers

Popular topics:   Multiplication worksheets

Difficulty level:

Worksheet Overview

Multiples are all the numbers in the multiplication times tables and beyond!

Like this:

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21...

Multiples of 7 = 7, 14, 21, 28, 35, 42, 49...

In this activity, we will be looking to find common multiples of numbers within a given range.

Example

Write down numbers that are multiples of both 5 and 10 between 30 and 60.

Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...

Multiples of 10 are: 10, 20, 30, 40, 50, 60...

The common multiples are the ones that appear in both lists and are shown in red.

The ones in the range between 30 and 60 are 40 and 50.

30 and 60 are not between 30 and 60 because they are the two end numbers!!

The lowest common multiple in this range is 40 and the highest common multiple in this range is 50.

The lowest common multiple (LCM) is the smallest whole number that is a multiple of two or more numbers.

The highest common multiple (HCM) is the largest whole number that is a multiple of two or more numbers.

Let's move on to some questions.

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