Calculations using the cluster variation method (CVM) in the tetrahedron approximation have been applied to multicomponent FCC and BCC Ising systems with spin number up to s=7/2. The magnetic specific heat capacity (CH) of ferro- and antiferromagnetic FCC and BCC systems has been calculated in the first neighbour approximation and compared with data obtained with other methods. A concavity in the CH curve at T≈TC/2 develops with increasing spin number.