The Repetitious Sum

Logic Level 2

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

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

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