# Multiples

Lesson

Think about your times tables. Multiples are what you get after multiplying a number by a counting number. For example, in the $4$4 times tables we work our way through starting at

$4\times1=4$4×1=4

$4\times2=8$4×2=8

$4\times3=12$4×3=12 and so on.

If we take this example further, the first five multiples of $4$4 are $4$4, $8$8, $12$12, $16$16 and $20$20.

### Multiples are ordered

The first multiple of a number is the answer of that number multiplied by one. The second multiple is the answer of the number times two and so on. Let's look at an example to explain this.

#### Worked examples

##### Example 1

What is the tenth multiple of $8$8?

Think: The tenth multiple would be equivalent to $8\times10$8×10.

Do: $8\times10=80$8×10=80

Got it? Let's look at another example.

##### question 2

What is the product of the sixth multiple of $5$5 and the eighth multiple of $9$9?

Think: $6\times5=30$6×5=30 and $8\times9=72$8×9=72.

Do: $30\times72=2160$30×72=2160

#### Practice questions

##### Question 1

What multiple of 8 is 72?

1. $72$72 is the $\editable{}$th multiple of $8$8.

##### Question 2

Find the lowest common multiple of $12$12 and $20$20.

1. Lowest common multiple = $\editable{}$

##### Question 3

Three bells ring at the same time. The first rings every $63$63 seconds, the second every $35$35 seconds and the third every $7$7 seconds. How long after the start before all $3$3 bells ring together again?