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. **

**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 **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.

Want to understand this further and learn how this links to other topics in maths?

Why not watch this video?