  We have measured the branching fractions of the Cabibbo-suppressed decays
$\Lambda^+_c$ $\to$ $\Lambda^{0}$ $K^+$ and $\Lambda^+_c$ $\to$ $\Sigma^0$
$K^+$ %(measured with improved accuracy). relative to the Cabibbo-allowed decay
modes $\Lambda^+_c$ $\to$ $\Lambda^{0}$ $\pi^+$ and $\Lambda^+_c$ $\to$
$\Sigma^0$ $\pi^+$ to be $ 0.044 \pm 0.004 (\textnormal{stat.}) \pm 0.002
(\textnormal{syst.})$ and $ 0.040 \pm 0.005 (\textnormal{stat.}) \pm 0.004
(\textnormal{syst.})$, respectively. We also present the first observation of
$\Lambda^+_c$ $\to$ $\Lambda^{0}$ $K^+ \pi^+ \pi^-$ and have measured the
branching fraction relative to $\Lambda^+_c$ $\to$ $\Lambda^{0}$ $\pi^+$ to be
$0.266 \pm 0.027 (\textnormal{stat.}) \pm 0.032 (\textnormal{syst.})$. The
upper limit of the branching fraction into the decay $\Lambda^+_c$ $\to$
$\Sigma^0$ $K^+ \pi^+ \pi^-$ relative to $\Lambda^+_c$ $\to$ $\Sigma^0$ $\pi^+$
has been measured to be %7.6 \times 10^{-4}$ $ < 3.9 \times 10^{-2}$ at the 90%
confidence level. This analysis was performed using a data sample of
%approximately 125 fb$^{-1}$ (integrated luminosity) collected by the \babar$
$detector at the PEP-II asymmetric-energy $B$ Factory at the Stanford Linear
Accelerator Center. All results presented in this conference contribution are
preliminary.
