Algebra

Algebra Level 3

{a+b+c=56a2+b2+c2=1344a2=bc\begin{cases} a+ b + c = 56 \\ a^2 + b^2 + c^2 = 1344 \\ a^2 = bc \end{cases}

Let aa, bb and cc be numbers satisfying the system of equations above.

Find abcabc.

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