The formation and stability of spiral magnetic structures in isotropic layered magnets have been studied under the assumption of a strong intralayer and several relatively weak interlayer exchange interactions. It was shown that all the possible magnetic structures can be derived from eigenvectors of a matrix of interlayer exchange integrals. No more than S different magnetic structures can be realized in a crystal that comprises S nonequivalent magnetic layers. Each of these structures can be presented as S nested simple spirals with an equal period, which turn about over the layers of the same type. However, not all of them are stable. In particular, in a two‐layer magnet (S = 2), there can exist two different double spirals but only one of them would be stable.