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This article presents a general theory on dislocation loops in multilayered anisotropic solids with magneto-electro-elastic couplings. First, a novel extended point-force Green's function is developed that not only guarantees the numerical stability but also admits a direct interpretation of the image method in multilayered solids. Then, based on the new Green's function, the classical theory of dislocation loops in pure-elastic infinite solids is systematically generalized by accounting for both the surface/interface conditions and the magneto-electro-elastic couplings. Two major contributions are made in the generalization: (i) the extended displacement and stress fields induced by an arbitrary dislocation loop are derived and expressed concisely as a simple line integral along the closed dislocation curve; (ii) the interaction energy between two arbitrary dislocation loops is also derived and expressed compactly as double …