The positive real numbers a, b and c satisfy abc = 8, and otherwise they can be chosen freely. What is the least possible value of (1 + a)(1 + b)(1 + c)?

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The positive real numbers $a$ , $b$ and $c$ satisfy $abc = 8$ , and otherwise they can be chosen freely. What is the least possible value of $(1 + a)(1 + b)(1 + c)$ ?

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