Study of the decays ${\chi }_{cJ}\to \Lambda \overline{\Lambda }\omega $

Using $\left(27.12±0.14\right)×{10}^{8}$ $\psi \left(3686\right)$ events collected with the BESIII detector, we present the first observation of the decays ${\chi }_{cJ}\to \Lambda \overline{\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 $B\left({\chi }_{c0}\to \Lambda \overline{\Lambda }\omega \right)=\phantom{\rule{0ex}{0ex}}\left(2.37±0.22±0.25\right)×{10}^{-4}$, $B\left({\chi }_{c1}\to \Lambda \overline{\Lambda }\omega \right)=\left(1.01±0.10±0.11\right)×{10}^{-4}$, and $B\left({\chi }_{c2}\to \Lambda \overline{\Lambda }\omega \right)=\phantom{\rule{0ex}{0ex}}\left(1.40±0.13±0.17\right)×{10}^{-4}$, where the first uncertainties are statistical and the second are systematic. We observe no clear intermediate structures.