  The Frobenius number $F(\ba)$ of a lattice point $\ba$ in $\R^d$ with
positive coprime coordinates, is the largest integer which can $not$ be
expressed as a non-negative integer linear combination of the coordinates of
$\ba$. Marklof in \cite{M} proved the existence of the limit distribution of
the Frobenius numbers, when $\ba$ is taken to be random in an enlarging domain
in $\R^d$. We will show that if the domain has piecewise smooth boundary, the
error term for the convergence of the distribution functions is at most a
polynomial in the enlarging factor.
