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Question

The high school marching band rehearses with either 6 or 10 members. What is the least number of people that can be in the marching band?

A
20
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B
25
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C
30
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D
35
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Solution

The correct option is C 30
We have to find the least common multiple of 6 and 10.

Let us find the multiples of 6 and 10.

Multiples of 6 are:


Multiples of 10 are:


Now, we check the common multiples of both the numbers.


We observe that the common multiples are 30 and 60.

Out of these, the least common multiple of 6 and 10 is 30.

∴ In the band, there are a minimum of 30 members.

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