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Surname Rost (Rost , רוסט , ロスト) , across the world, is a common last name. The family name Rost is characteristic of Germany, where it is quite a common surname, Denmark, where it is quite a rare surname, and Argentina. In absolute terms, it most frequently occurs in Germany, the United States, and Brazil. Much less frequently, Rost is the forename as well as the last name.