The Repetitious Sum

Logic Level 2

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

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

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