# Least $$n$$ #2

Find the least positive integer $$n$$ for which there exists a set $$\{ s_1,s_2,\ldots,s_n \}$$ consisting of $$n$$ distinct positive integers such that

$\left(1 - \dfrac{1}{s_1} \right) \left ( 1 - \dfrac{1}{s_2} \right) \left(1 - \dfrac{1}{s_3} \right) \ldots \left(1 - \dfrac{1}{s_n} \right) = \dfrac{42}{2010}$

Try this: All of my problems

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