Using 567 $pb^{-1}$ $e^{+}e^{-}$ collision data collected with the BESIII detector at a center-of-mass energy of $\sqrt{s}=4.599$ GeV, near the $\Lambda_c^+\bar{\Lambda}_c^-$ threshold, we present the measurements of $\Lambda_c^+$ hadronic decays and semi-leptonic decays. The absolute branching fraction ${B}(\Lambda_c^+\to \Sigma^{-}\pi^+\pi^+\pi^0)$ is determined to be $(2.11\pm0.33\pm0.14)\%$. The measurements of singly Cabibbo-suppressed decays $\Lambda_c^+\to p\pi^+\pi^-$ and $\Lambda_c^+\to pK^+K^-$ are performed, and the relative branching fractions with respect to the Cabibbo-favored decay $\Lambda_c^+\to pK^-\pi^+$ are given, the absolute branching fractions are also obtained for these two decays. Evidence for the singly Cabibbo-suppressed decay $\Lambda_c^+\to p\eta$ is found to be $4.2\sigma$, and the upper limit for $\Lambda_c^+\to p\pi^0$ is reported. The branching fractions for the semi-leptonic decays are determined to be ${B}({\Lambda^+_c\rightarrow \Lambda e^+\nu_e})=(3.63\pm0.38(stat.)\pm0.20(syst.))\%$ and ${B}(\Lambda_c^+\to\Lambda\mu^{+}\nu_{\mu})=(3.49\pm0.46(stat.)\pm0.27(syst.))\%$. In addition, we also give the ratio ${B}(\Lambda_c^+\to\Lambda\mu^{+}\nu_{\mu})/{B}(\Lambda_c^+\to\Lambda e^+\nu_{e}) = (0.96\pm0.16(stat.)\pm0.04(syst.))\%$.