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Family name Rinn (ริน , Rinn , Rienn ) , around the globe, is quite a rare last name. The family name Rinn is characteristic of Ireland, where it is quite a rare surname, Germany, and France, where it is a rare surname. Not in comparison with a country's population, it most frequently occurs in Germany, the United States, and Ireland. Very seldom, Rinn is the forename as well as the last name.