**Identify Multiples**

Y5 Multiplication and Division Multiples Investigation

**Investigation – Many Multiples**

Have a look at the pairs of numbers below. Which do you think has the highest number of common multiples within 100? Why do you think this?

3 and 6

4 and 5

2 and 6

3 and 5

8 and 9

Now investigate and find which actually has the highest number of common multiples.

Solution:

3 and 6 has 16 common multiples within 100 (6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96)

4 and 5 has 5 common multiples (20, 40, 60, 80, 100)

2 and 6 also has 16 common multiples (6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96)

3 and 5 has 6 common multiples (15, 30, 45, 60, 75, 90)

8 and 9 has 1 (72).