# Is it possible to find?

Number Theory Level 4

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

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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