Using $567rm{pb}^{-1}$ of $e^+e^-$ collisions recorded at $sqrt{s}=4.599rm{GeV}$ with the BESIII detector, we report first measurements of absolute hadronic branching fractions of Cabibbo-favored decays of the $Lambda_{c}^{+}$ baryon with a double-tag technique. A global least-square fitter is utilized to improve the measured precision. Among the measurements for twelve $Lambda_{c}^{+}$ decay modes, the branching fraction for $Lambda_{c}^{+} rightarrow pK^-pi^+$ is determined to be $(5.84pm0.27pm0.23)%$, where the first uncertainty is statistical and the second is systematic. In addition, the measurements of the branching fractions of the other eleven Cabbibo-favored hadronic decay modes are significantly improved.