Lorentzian signals are valuable information carriers on many science fields. Although well established procedures for nonlinear fitting exists, they tend to show slow performance when either a large number of bands or high resolution signals are involved. This work introduces a procedure that automatically makes an initial estimate of the band's parameters, which are subsequently improved by a routine called Simultaneous Height Adjust (SHA), designed for accounting neighbors' signal distortions, and a linear least square fitting procedure. As result, we obtain an easy to implement and fast procedure that, for the case of LIBS applications, never overestimates the peak's energy.