More problems in 2016 part 2

For natural numbers : a ,b ,c and d (not necessarily distinct) ; Following conditions are true.

\(\left.\begin{matrix} &a+b+c+d=18 & \\ & & \\ & 3abcd=525 & \end{matrix}\right\}\)

Then find the value of :

\(a^3 + b^3 + c^3 +d^3\)

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