This paper summarizes the findings of the Intensity Limitations Working Group at the LHC96 Workshop. Discussions are focused on the three synchrotrons in the injector chain of the LHC, namely, the PSB, the PS and the SPS. Potential bottlenecks for reaching the nominal as well as the ultimate LHC beam intensity are identified and possible solutions are suggested. In addition, a comparison of proton synchrotron performance and a survey of machine impedance and simulation codes for instability studies are presented.