The power spectrum was calculated for the time series of the LDE-type flare occurrence during the last three solar cycles (the 20-th, the 21-st and the first part of the 22-nd cycle). LDE-type flares (Long Duration Events in SXR) are associated with the interplanetary protons (SEP and STIP as well), energized coronal arches and radio type IV emission. Generally, in all the cycles considered, LDE-type flares mainly originated during a 6-year interval of the respective cycle (2 years before and 4 years after the sunspot cycle maximum). The following significant periodicities were found: in the 20-th cycle: 1.4, 2.1, 2.9, 4.0, 10.7 and 54.2 of month; in the 21-st cycle: 1.2, 1.6, 2.8, 4.9, 7.8 and 44.5 of month; in the 22-nd cycle, till March 1992: 1.4, 1.8, 2.4, 7.2, 8.7, 11.8 and 29.1 of month; in all interval (1969-1992): 1. the longer periodicities: 232.1, 121.1 (the dominant at 10.1 of year), 80.7, 61.9 and 25.6 of month, 2. the shorter periodicities: 4.7, 5.0, 6.8, 7.9, 9.1, 15.8 and 20.4 of month. Solar variability has an extremely complex time dependence. The Sun is a multiperiodic system. The strong periodicities "near 155 and 270 days" were found also in the LDE-type flare occurrence.