  In this paper, we study large $m$ asymptotics of the $l^1$ minimal
$m$-partition problem for Dirichlet eigenvalue. For any smooth domain
$\Omega\in \mathbb{R}^n$ such that $|\Omega|=1$, we prove that the limit
$\lim\limits_{m\rightarrow\infty}l_m^1(\Omega)=c_0$ exists, and the constant
$c_0$ is independent of the shape of $\Omega$. Here $l_m^1(\Omega)$ denotes the
minimal value of the normalized sum of the first Laplacian eigenvalues for any
$m$-partition of $\Omega$.
