Various decay half-lives of different isotopes of Livermorium super heavy nucleus are studied. α-decay half-lives of under consideration isotopes are obtained using semi-empirical formula produced by Royer [J. Phys. G: Nucl. Part., 26, 1149(2000)]. Cluster decay half-lives of these isotopes for decay of 9Be, 10- 11B, 12C, 16O, 19F, 20-22Ne, 23Na, 24-26Mg, 27Al, 28-30Si, 31P, 32-34S, 35Cl, 36-40Ar, 39-41K and 40-48Ca clusters are predicted using a phenomenological relation constructed by Manjunatha [Mod. Phys. Lett. A, 35(6), 2050016(2020)] based on tunneling of cluster through decay barrier. Also spontaneous fission half-lives of these isotopes are calculated based on semi-empirical relation constructed by Santhosh et al. [Nucl. Phys. A, 832, 220 (2010)], following Gamow penetration probability through fission barrier. Calculated half-lives are compared with each other as well as available experimental data. Satisfactory agreement is achieved between predicted and measured data. This type of study has been done to predict possible decay modes of super heavy isotopes which helps experimental scientists to arrange their experiments.