  We investigate the thermodynamic uncertainty relation (TUR), \textit{i.e.} a
trade-off between entropy production rate and relative power fluctuations, for
nondegenerate three-level and degenerate four-level maser heat engines. In the
nondegenerate case, we consider two slightly different configurations of
three-level maser heat engine and contrast their degree of violation of
standard TUR. In the high-temperature limit, standard TUR relation is always
violated for both configurations. We also uncover an invariance of TUR under
simultaneous rescaling of the matter-field coupling constant and system-bath
coupling constants. For the degenerate four level engine, we study the effects
of noise-induced coherence on TUR. We show that depending on the parametric
regime of operation, noise-induced coherence can either suppress or enhance the
relative power fluctuations.
