If \(x\) is the smallest positive integer that is divisible by each of the integers from \(24\) to \(27\) inclusive, whi

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If \(x\) is the smallest positive integer that is divisible by each of the integers from \(24\) to \(27\) inclusive, which of the following statements must be true?

I) \(x>3200\)
II) \(x\) is a multiple of \(90\)
III) \(500\) is a factor of \(x\)

A) I only
B) II only
C) I and II
D) II and III
E) I, II, III

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT
Source: — Problem Solving |