The lack of conclusive evidence for new physics in Run I of the LHC suggests that future discoveries may manifest themselves with small numbers of signal events. In this case, it will be crucial to use analysis techniques that extract as much information as possible from a limited number of events. Previously, a technique exploiting correlations in the full multi-particle phase space to efficiently reconstruct intermediate and invisible masses in decay chains has been demonstrated for the case of four final state particles. We review this technique and discuss its generalization to five or more final state particles. We also demonstrate a new technique for implementing a mass finding algorithm based on the same principle in the presence of realistic backgrounds with Voronoi tessellations.