$$56/ \frac{ 1 }{ 3 } \{ 15+12-(9+6-5+7) \}$$
$1680$
$$56\times 3\left(15+12-\left(9+6-5+7\right)\right)$$
$$168\left(15+12-\left(9+6-5+7\right)\right)$$
$$168\left(27-\left(9+6-5+7\right)\right)$$
$$168\left(27-\left(15-5+7\right)\right)$$
$$168\left(27-\left(10+7\right)\right)$$
$$168\left(27-17\right)$$
$$168\times 10$$
$$1680$$
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$2^{4}\times 3\times 5\times 7$