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. **

**Answer**

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.