  We showed in hep-th/0303210 that the Dijkgraaf-Vafa theory can be regarded as
large-N reduction in the case of $\mathcal{N}=1$ supersymmetric U(N) gauge
theories, with single adjoint matter. We generalize this to gauge theories with
gauge groups being the products of some unitary groups coupled to bifundamental
or fundamental matter. We show that some large-N reduced models of these
theories are supermatrix models, whose free energy is equivalent to the
prepotentials of the original gauge theories. The supermatrix model in our
approach should be taken in the Veneziano limit $N_c,N_f \to \infty $ with
$N_f/N_c$ fixed.
