  Using $4.5 \mathrm{fb}^{-1}$ of $e^+e^-$ annihilation data samples collected
at center-of-mass energies ranging from 4.600 to 4.698 GeV with the BESIII
detector at the BEPCII collider, we measured the absolute branching fraction
for the inclusive semileptonic decay $\Lambda_c^+\rightarrow Xe^+\nu_e$, where
$X$ refers to any possible particle system. The branching fraction of the decay
is determined to be $\mathcal{B}({\it \Lambda}^+_c\rightarrow
Xe^+\nu_e)=(4.06\pm0.10_{\rm stat.}\pm0.09_{\rm syst.})\%$. Our result improves
the precision of previous measurement of $\mathcal{B}({\it
\Lambda}^+_c\rightarrow Xe^+\nu_e)$ by more than threefold. Using the known
$\Lambda_c^+$ lifetime and the charge-averaged semileptonic decay width of
nonstrange charmed mesons, we measure the ratio of inclusive semileptonic decay
widths $\Gamma(\Lambda_c^+\rightarrow X e^+\nu_e)/\bar{\Gamma}(D\rightarrow
Xe^+\nu_e)=1.28\pm0.05$, where statistical and systematic uncertainties are
combined.
