The least \(n\)

Find the least positive integer \(n\) such that there exists a set \( \{s_{1}, s_{2},...,s_{n} \}\) of \(n\) distinct positive inegers such that \[ \left(1-\dfrac{1}{s_{1}}\right) \left(1-\dfrac{1}{s_{2}}\right)\cdots \left(1-\dfrac{1}{s_{n}}\right)= \dfrac{51}{2010}. \]

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