In the earlier classes of Math, you might have heard of the concept of Common Multiples. It is an important topic and is essential to find patterns in numbers. In this article, we will help you learn all about the Definition of Common Multiples, Facts, and Examples. The Solved Examples on Common Multiples make it easy for you to understand the entire concept quickly and easily.

### What are Multiples?

Multiples are the results obtained by multiplying a number with an integer. Multiples of Whole Numbers are obtained by considering the product of counting numbers and whole numbers.

For example, we can obtain the multiples of 5, 7 by multiplying them with the numbers 1, 2, 3, 4, 5, 6, …..

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45……

Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56…..

## Common Multiples – Definition

Common Multiple is a whole number that is a shared multiple of two or more numbers. The Multiples that are common to two or more numbers are called the Common Multiples of those Particular Numbers.

Example:

List the Common Multiples of 8, 12

Multiples of 8 are 8, 16, **24**, 32, 40, 48, 56, 64, **72**, 80, 88, **96**,…

Multiples of 12 are 12, **24**, 36, 48, 60, **72**, 84, **96**, 108, 120, 132, 144….

Common Multiples of 8, 12 are 24, 72, 96

### How to find Common Multiples of Two or More Numbers?

Go through the below listed simple and easy steps to find out the Common Multiples of Two or More Numbers. They are in the following way

- The first and foremost step is to assess your numbers.
- Make a list of multiples for the given numbers.
- Continue preparing the list until you find two or more common multiples.
- Then, Identify the common multiples from the multiples list prepared.

### Solved Examples on Common Multiples

1. List out the Common Multiples of 5 and 15?

Solution:

Given Numbers are 5 and 15

Multiples of 5 are 5, 10, **15**, 20, 25, **30**, 35, 40, **45**, 50, 55, **60**, 65, 70, **75**, 80, 85, **90**, ….

Multiples of 15 are **15**, **30**, **45**, **60**, **75**, **90**, 105, 120, 135, 150, 165, 180,….

Common Multiples of 5 and 15 are 15, 30, 45, 60,75, 90

2. Find the Common Multiples of 6 and 9?

Solution:

Multiples of 6 are 6, 12, **18**, 24, 30, **36**, 42, 48, **54**, 60…..

Multiples of 9 are 9, **18**, 27, **36**, 45, **54**, 63, 72, 81, 90…..

Common Multiples of 6 and 9 are 18, 36, 54