$\begin{aligned} m\times a\times t & =& \frac {1}{8} \\ m\times a\times h & =& 32 \\ m\times t\times h & =& \frac{1}{3} \\ a\times t\times h & =& 162 \\ \end{aligned}$

Given that $m,a,t,h$ are elements of real numbers that satisfy the equations above. Find the value of $m\times a\times t\times h$.