We investigated \(^{50,52-54}\) Cr-induced fusion reactions for the synthesis of the superheavy element in the \(104\le Z\le 122\) range. The cross sections produced in this investigation using \(^{54}\) Cr projectiles were compared with those obtained in prior experiments. The estimated cross sections from this analysis are consistent with the findings of prior studies. From the current study, the predicted cross section was found to be 42fb at 236 MeV for \(^{53}\) Cr+ \(^{243}\) Am, 23.2 fb at 236 MeV for \(^{54}\) Cr+ \(^{247}\) Cm, 95.6 fb at 240 MeV for \(^{53}\) Cr+ \(^{248}\) Bk, and 1.33 fb at 242 MeV for \(^{53}\) Cr+ \(^{250}\) Cf. Consequently, these projected cross sections with excitation energy and beam energy will be useful in future Cr-induced fusion reaction investigations.