In this work, we use a variety of MQC approaches to simulate the VSC-influenced reaction rate constant. All of these MQC simulations treat the key vibrational levels associated with the reaction coordinate in the quantum subsystem (as quantum states), whereas all other DOFs, including photons and the cavity field as well as the associated loss bath, as the classical DOFs. We find that so long as we have the quantum state descriptions for the vibrational DOFs, one can correctly describe the VSC resonance condition in Eq. 1 regardless of the detailed MQC methods one used. The accuracy of the MQC approaches varies, with k/k 0 (ratio of rate constants inside vs outside the cavity) being 3 times to 8 times larger than the exact HEOM results. Nevertheless, all results suggest that the MQC approaches can generate semiquantitative agreement with the exact results for k/k 0 when changing the cavity frequency ω c , the light-matter coupling strength η c , or the cavity lifetime τ c . The finding of this work suggests that one can use computationally economic MQC approaches to explore the collective coupling scenario when many molecules are collectively coupled to many cavity modes, corresponding to the realistic experimental setup in the VSC experiments.