Magnetoelastic switching in multiferroic nanomagnets with a small voltage is a promising substitute for current charge-based CMOS devices. Here, we study strain-mediated multiferroic majority logic gate by solving Landau-Lifshitz-Gilbert equation and establish an energy- efficient CMOS compatible equivalent circuit analogy to capacitor's I- V characteristics. We can easily simulate nanomagnet logic units using this tool. After that, the circuit is verified by SPICE simulations. Results show that the output voltage polarity is determined by the majority of input voltage polarity with ultralow energy consumption, working similarly to majority logic function. The SPICE circuit model shows ultralow energy consumption because of the conserved dynamic current, which can serve as a promising logic unit, consequently, integrated into large-scale nanomagnetic logic circuits and even a nanomagnetic chip.