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a!×b!×c!=60480(a1)!×(b1)!×(c1)!=1440\begin{aligned}a! \times b! \times c! &= 60480 \\ (a-1)!\times (b-1)!\times (c-1)! &= 1440\end{aligned}

Given the above, what is the value of a×b×c?a\times b \times c?

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