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Question

Match the pair of numbers with their common multiple.

A
35
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B
40
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C
15
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D
12
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Solution

(i) Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, ...
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, ...
12 is a common multiple of 2 and 3.


(ii) Multiples of 3 are 3, 6, 9, 12, 15, 18, ...
Multiples of 5 are 5, 10, 15, 20, 25, ...
15 is a common multiple of 3 and 5.


(iii) Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, ...
20 and 40 are common multiples of 4 and 5.


(iv) Multiples of 5 are 5, 10, 15 20, 25, 30, 35, 40, ...
Multiples of 7 are 7, 14, 21, 28, 35, 42, ...
35 is a common multiple of 5 and 7.

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