  # Find 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

Difficulty level:   #### Worksheet Overview

Multiples are all the numbers in the multiplication times tables.

For example:

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

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

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

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 30, 40, 50 and 60.

The lowest common multiple in this range is 30 and the highest common multiple in this range is 60.

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

The highest common multiple is the largest whole number that is a factor of each of two or more numbers.

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