The magnetization and magnetostriction of polycrystalline LaFe(11.2 - & khcy;)MnxCo(0.7)Si(1.1) alloys (x = 0.1, 0.2, 0.3) were measured in pulsed magnetic fields up to 180 kOe in the temperature region of 80-270 K. The substitution of Fe atoms by Mn atoms shifts T-C towards lower temperatures and has no effect on the saturation magnetization. The observed magnetization-field dependence M(H) near T-C is typical of the second-order phase transitions, whereas the magnetization-temperature dependence M(T) above T-C in strong magnetic fields indicates the occurrence of a first-order phase transition. The magnetovolume effect Delta V/V attains 0.81% in a field of 180 kOe. Magnetostriction asymmetry with respect to the maximum temperature of the effect in strong magnetic fields and magnetic-field hysteresis of magnetostriction have the first-order phase transition features.