The ferromagnetic resonance-line shapes, fields, and intensities of exchange coupled magnetic multilayers are calculated as a function of exchange coupling and number of layers. We find that the number of magnetic excitations equals the number of layer pairs that make up the layered structure. The magnetic dispersion of these excitations is easily calculable from the theoretical formulation developed earlier. It is suggested that the multitude of ferromagnetic resonance lines in magnetic superlattices observed experimentally elsewhere may be explained in terms of an earlier calculation involving surface magnetic anisotropy fields only.