The Lenovo G580's ability to run Skyrim smoothly depends on its specific hardware configuration. If it has at least 4GB of RAM, an Intel Core i5 processor or equivalent, and a dedicated graphics card like the NVIDIA GeForce 610M or better, it should run the game reasonably well on medium settings. However, if it's equipped with lower-end components or integrated graphics, performance may be subpar, resulting in lag or lower frame rates. Upgrading RAM or using mods to reduce graphical demands could help improve performance.