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Question
What is the smallest common multiple of 3, 4 and 5?
What is the smallest common multiple of 3, 4 and 5?
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Solution
The correct option is D 60
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60.
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.
The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
The same multiples of 3, 4 and 5 are also shown in the below diagram.
In the yellow region, we can see only 60 is the common multiple between all the three numbers.
∴ the smallest common multiple of 3, 4 and 5 is 60.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60.
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.
The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
The same multiples of 3, 4 and 5 are also shown in the below diagram.
In the yellow region, we can see only 60 is the common multiple between all the three numbers.
∴ the smallest common multiple of 3, 4 and 5 is 60.
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