$$\frac{ 111 }{ \frac{ 666 }{ 999 } } 6$$
$999$
$$\frac{111\times 999}{666}\times 6$$
$$\frac{110889}{666}\times 6$$
$$\frac{333}{2}\times 6$$
$$\frac{333\times 6}{2}$$
$$\frac{1998}{2}$$
$$999$$
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$3^{3}\times 37$
