RMO Inequalities - 2

Algebra Level 2

$\large \dfrac{(a^2b+b^2c+c^2a)(ab^2+bc^2+ca^2)}{a^2b^2c^2}$

If $a,b$ and $c$ are positive real numbers then the minimum value of the expression above.

Try part 1 here and part 3 here.