Set with Sum Equal to Product

Algebra Level 5

\( \{ x_1, x_2, \ldots x_{60} \} \) is a set of \(60\) positive integers that satisfy the equation

\[ x_1 + x_2 + \ldots + x_{60} = x_1 \times x_2 \times \ldots \times x_{60}. \]

Over all solution sets, what is the maximum value of \( x_1 \)?

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