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In the present paper, the governing equations of a generalized thermo-magneto-electro-elastic medium are formulated in the x-z plane. The plane wave solution of these equations indicates the existence of three quasi plane waves, namely, quasi-P, quasi-T and quasi-SV waves. The thermo-magneto-electro-elastic medium is mod- eled withLiNbO3for computing the speeds of these plane waves. Effects of the frequency, thermal relaxationtime, electric coupling coefficient, magnetic coupling coefficient and angle of propagation on the speeds of theseplane waves are observed and shown graphically.