\[ \large \frac 1x - \frac1{xy} - \frac1{xyz} = \frac{19}{97} \]

Suppose we have positive integers \(x<y<z\) such that it satisfy the equation above, evaluate \(\overline{xyz} \).

**Details and Assumptions**:

- If \(x=12,y=34,z=56\), then submit your answer as 123456.

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