Discussion

How many numbers between 200 and 400 are divisible by 3, 4, and 5?

Answer: B

A number divisible by 3, 4, and 5 must be divisible by their LCM.

LCM(3, 4, 5) = \(3 \times 4 \times 5 = 60\).

We need to find the multiples of 60 between 200 and 400.

The multiples are: \(60 \times 4 = 240\), \(60 \times 5 = 300\), \(60 \times 6 = 360\).

There are 3 such numbers.

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