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Question
Which among these is the least common multiple of 3 and 6?
Which among these is the least common multiple of 3 and 6?
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Solution
The correct option is A 6
Multiples of 3
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
3 x 5 = 15
3 x 6 = 18
3 x 7 = 21
3 x 8 = 24
3 x 9 =27
3 x 10 = 30
Multiples of 6
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
6 x 8 = 48
6 x 9 =54
6 x 10 = 60
By looking at first ten multiples of both 3 and 6 we can say that 6 , 12 , 18 that are all the multiples of 6 are the common multiples of 3 and 6 among which 6 is the least one.
So the least common multiple(LCM) of 3 and 6 is 6
Multiples of 3
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
3 x 5 = 15
3 x 6 = 18
3 x 7 = 21
3 x 8 = 24
3 x 9 =27
3 x 10 = 30
Multiples of 6
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
6 x 8 = 48
6 x 9 =54
6 x 10 = 60
By looking at first ten multiples of both 3 and 6 we can say that 6 , 12 , 18 that are all the multiples of 6 are the common multiples of 3 and 6 among which 6 is the least one.
So the least common multiple(LCM) of 3 and 6 is 6
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