The macroscopic magnetic properties such as remanent magnetization of the ferromagnetic multilayer system with random easy axis orientations is investigated by using a effective micromagnet approach. The multilayer, which alternating soft/hard layers in which their easy axis orientations is random build a nanostructured multilayer, is considered to meet periodic boundary condition, the dependence of remanence on thickness has been analytical derived. Author find that the remancence clearly depends on the thickness of the soft magnetic layer nearly independence of thickness of hard magnetic layer. this analytical results are in excellent agreement with previous numerical results.