If a(b+c)=152, b(c+a)=162 and c(a+b)=170, where a, b and c are positive integers, find abc.

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If a,b and c are positive real numbers such that a(b+c)=152,b(c+a)=162 and c(a+b)=110 then abc is If a,b and c are positive real numbers such that a(b+c)=152,b(c+a)=162 and c(a+b)=110 then abc is
Find a+b+c+d, positive integers a, b, c, d are not equal to each other, satisfying an equation. Find a+b+c+d, positive integers a, b, c, d are not equal to each other, satisfying an equation.
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