The available experimental differential cross-section data for the 6Li+40C nuclear system in the energy range of 20–240 MeV have been reanalyzed using the framework of the phenomenological optical model (OM), the semi-microscopic cluster folding optical model (CFOM), and the microscopic cluster folding model (CFM) motivated by the well-known cluster structure of 6Li. Reasonable fits to the experimental data have been obtained using OM, CFOM, and CFM over the entire energy range considered in this study. For the real cluster folding potential, the extracted average renormalization factors from CFM and CFOM calculations are 0.46 ± 0.14 and 0.56 ± 0.05, respectively. Due to the well-developed cluster structure of 6Li and the effect of its breakup on other reaction channels, the strength of the real cluster folding potentials was required to be reduced by ∼44%–54% in order to describe the experimental data.