This paper combines multiphase and multilevel interleaving using distributed active switches and integrated magnetics into a unified very large scale interleaving (VLSI) technique to develop ultra-fast power electronics with outstanding large-signal tracking capability. The large-signal reference tracking capabilities considering the fundamental sampling limit, modulator, and output filter are derived, including how reduced amplitude, above-switching-frequency tracking is possible for highly interleaved converters. The capabilities of very large scale interleaving are demonstrated with a 64× interleaved, four-phase, 17-level FCML converter enabled by passive flying capacitor balancing provided by a four-phase tightly coupled inductor. The applicability and efficacy of the theory are verified by using the converter to directly power a 400 W Li-Fi transmitter communicating with OOK/16-QAM at 2.4× the switching frequency and 95.5% efficiency.