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LCM

Which of the ...

Question

Which of the following is/are the common multiple(s) of 2, 3 and 6?

A

12

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B

21

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C

24

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D

18

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Solution

The correct options are
A 12
C 24
D 18
Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, …

Multiples of 6 are 6, 12, 18, 24, …

So, common multiples of 2, 3 and 6 are 6, 12, 18, 24, …

Therefore, common multiples of 2, 3 and 6 among the given options are 12, 18 and 24.

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