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There is still dispute over the stability of endohedral metallofullerenes (EMFs) M2C2n, and recently, multiform lutetium-based dimetallofullerenes have been dropped in experiments. The thermodynamic stabilities of Lu2C86 EMFs are revealed by density functional theory (DFT) in conjunction with statistical thermodynamic analyses. Inevitably, besides the experimentally reported Lu2@C2v(63751)-C86, Lu2@C s (6375-C86, and Lu2@C s (63757)-C86, other three metal carbide clusterfullerenes, Lu2C2@D2d(51591)-C84, Lu2C2@C1(51383)-C84, and Lu2C2@C