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We propose Lax-Friedrichs fast sweeping multigrid methods which allow efficient calculations of viscosity solutions of stationary hyperbolic problems.Due to the choice of Lax-Friedrichs numerical fluxes,general problems can be solved without difficult inversion.High order discretization can be incorporated to achieve high order accuracy.In addition,we use multigrid methods coupled with biased WENO interpolation to speed up the computation by smoothing errors of low frequencies on coarse meshes.