In 2014 BESIII collected a data sample of 567 pb−1pb−1 at EcmEcm = 4.6 GeV, which is just above the Λ+cΛ+c pair production threshold. By analyzing this data sample, we have measured the absolute branching fractions for many decays of Λ+cΛ+c for the first time. These decays include the semileptonic decays of Λe+νΛe+ν, Λμ+νΛμ+ν, the hadronic decays of pKspKs, pK−π+pK−π+, pK−π+π0pK−π+π0, Λπ+Λπ+, Λπ+π0Λπ+π0, Σ+π+π0Σ+π+π0, pKsπ0pKsπ0, Λπ+π+π−, pKsπ+π−, Σ0π+, Σ+π0, Σ+ω, pϕ, pK+K−(non−ϕ), pπ+π−, nKsπ+, Σ−π+π+(π0) and inclusive decay Λ + anything. The decays of pπ+π−, nKsπ+ and Σ−π+π+π0 are observed for the first time and the others are measured with significantly improved precision. These results are important to benefit the development of the related theories, and provide important inputs for both charmed baryons and B physics.