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example. Find the first two common multiples of 3 and 5.
Solution. The multiples of 3 and 5 are shown on the number line:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
Thus, the first two common multiples of 3 and 5 are 15 and 30.

Exercise 5B

1. use the number line to find the common multiples of:

a. 2 and 3

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
The common multiples of 2 and 3 are: _____________________________________
b. 5 and 10

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
The common multiples of 5 and 10 are: _____________________________________

c. 3 and 6

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
The common multiples of 3 and 6 are: _____________________________________
2. Find the first four common multiples of:
a. 4 and 5 b. 2 and 5 c. 2 and 7 d. 10 and 20 e. 6 and 8

3. Find the common multiples of the following. Circle the smallest common multiple.
a. 2 and 9 b. 5 and 6 c. 8 and 12 d. 10 and 15 e. 15 and 20

FACtORS

Let us take 18 buttons and arrange them in rectangles in as many ways as we can.

1 × 18

2 × 9

3 × 6

84 Mathematics 4