  This paper reports the results of Suzaku observation of the spectral
variation of the black hole binary LMCX-1 in the soft state. The observationwas
carried out in 2009 from July 21 to 24. the obtained net count rate was
$\sim$30 counts s$^{-1}$ in the 0.5--50 keV band with $\sim$10% peak-to-peak
flux variation. The time-averaged X-ray spectrum cannot be described by a
multi-color disk and single Compton component with its reflection, but requires
additional Comptonized emissions. This double Compton component model allows a
slightly larger inner radius of the multi-color disk, implying a lower spin
parameter. Significant spectral evolution was observed above 8 keV along with a
flux decrease on a timescale of $\sim$10$^4$--10$^5$ s. By spectral fitting, we
show that this behavior is well explained by changes in the hard Comptonized
emission component in contrast to the maintained disk and soft Comptonized
emission.
