We report the first measurement of absolute hadronic branching fractions of Λ+c baryon at the Λ+cΛ¯−c production threshold, in the 30 years since the Λ+c discovery. In total, 12 Cabibbo-favored Λ+c hadronic decay modes are analyzed with a double-tag technique, based on a sample of 567 pb−1 of e+e− collisions at s√=4.599 GeV recorded with the BESIII detector. A global least-squares fitter is utilized to improve the measured precision. Among the measurements for twelve Λ+c decay modes, the branching fraction for Λ+c→pK−π+ is determined to be (5.84±0.27±0.23)%, where the first uncertainty is statistical and the second is systematic. In addition, the measurements of the branching fractions of the other 11 Cabibbo-favored hadronic decay modes are significantly improved.