# The Repetitious Sum

$\begin{array} { l l l } & & & X & Y & Z \\ & & & X & Y & Z \\ &+ & & X & Y & Z \\ \hline & & & Z & Z & Z \\ \end{array}$

If $X, Y,$ and $Z$ are distinct digits, then what is the value of $X \times Y \times Z ?$

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