Minimizing a Geometrical Expression!

$\large{\Omega = \left(1+ \dfrac{r_a}{R_a} \right)\left(1+ \dfrac{r_b}{R_b} \right)\left(1+ \dfrac{r_c}{R_c} \right)}$

Let $P$ be a point inside an equilateral triangle $ABC$ , and let $R_a,R_b,R_c$ and $r_a, r_b, r_c$ denote the distances of $P$ from the vertices and edges, respectively, of the triangle. Find the minimum value of $\Omega$ .