We calculate the gravitational waves (GWs) produced by primordial black holes (PBHs) in the presence of the inflaton condensate in the early Universe. Combining the GW production from the evaporation process, the gravitational scattering of the inflaton itself, and the density fluctuations due to the inhomogeneous distribution of PBHs, we propose for the first time a complete, coherent analysis of the spectrum, revealing three peaks, one for each source. Three frequency ranges (~kHz, GHz, and PHz, respectively) are expected, each giving rise to a similar GW peak amplitude ΩGW. We also compare our predictions with current and future GW detection experiments.