  We report the discovery of three new triple-mode classical Cepheids in the
Large Magellanic Cloud, two of them with the fundamental, first overtone and
second overtone excited, and one pulsating simultaneously in the first three
overtones. Thus, the number of triple-mode Cepheids in the LMC is increased to
five. We also present two objects belonging probably to a new type of
double-mode Cepheids having the first and third overtones excited. We measure
the rates of period change in these stars and detect decrease of periods in two
of them, what is in conflict with theoretical predictions.
