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Question
The least common multiple of 5, 6 and 10 is _______.
The least common multiple of 5, 6 and 10 is _______.
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Solution
The correct option is A 30
Multiples of 5
= 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...
Multiples of 6
= 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 10
= 10, 20, 30, 40, 50, 60, ...
By observing the common factors, we have 30, 60, 90, .. as the common multiples of 5, 6 and 10, but 30 is the least common multiple.
Hence, LCM of 5, 6 and 10 is 30.
30
Multiples of 5
= 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...
Multiples of 6
= 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 10
= 10, 20, 30, 40, 50, 60, ...
By observing the common factors, we have 30, 60, 90, .. as the common multiples of 5, 6 and 10, but 30 is the least common multiple.
Hence, LCM of 5, 6 and 10 is 30.
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