How many centroids do we need?

Let $P$ be any point inside a triangle $ABC$ . We further denote

• $L$ as the centroid of the triangle $PBC$ .
• $M$ as the centroid of the triangle $PAC$ .
• $N$ as the centroid of the triangle $PAB$ .

What is the ratio of area of triangle $ABC$ to the area of triangle $LMN$ ?