We investigate the charged lepton flavor violating processes $\mu\rightarrow e \gamma$, $\mu\rightarrow e e \overline{e}$ and $\mu-e$ conversion in nuclei for a class of three-loop radiative neutrino mass generation models with large electroweak multiplets. We show that the flavor violating processes $\mu\rightarrow e\gamma$ and $\mu-e$ conversion in nuclei become highly suppressed compared to $\mu\rightarrow e e \overline{e}$ process because of certain cancellations among various one-loop diagrams contributing to the effective $\mu e \gamma$ and $\mu e Z$ vertices in these models. Therefore, the observation of such pattern in LFV processes may reveal the radiative mechanism behind neutrino mass generation.