An massless equilateral triangle EFG of side 'a' (As shown in figure) has three particles of mass $\mathrm{m}$ situated at its vertices. The moment of inertia of the system about the line EX perpendicular to EG in the plane of EFG is $\frac{\mathrm{N}}{20}{\mathrm{ma}}^2$ where $\mathrm{N}$ is an integer. The value of $\mathrm{N}$ is ___________ .