Using (27.12\pm 0.14)\times10^{8}\psi(3686) events collected with the BESIII detector, we present the first observation of the decays \chi_{cJ}\to\Lambda\bar{\Lambda}\omega, where J=0, 1, 2, with statistical significances of 11.7 \sigma, 11.2 \sigma, and 11.8 \sigma. The branching fractions of these decays are determined to be $\mathcal{B}(\chi_{c0}\to\Lambda\bar{\Lambda}\omega)=({2.37 \pm 0.22 \pm 0.23}) \times... Show more