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Family name Raci (Raci , راجي , ریسی ) , worldwide, is a common last name. The surname Raci is habitual in Kosovo, where it is quite a common surname, Albania, where it is quite a rare surname, and Iran. Measured by absolute frequency, this name is the most popular in India, Iran, and Iraq. More prevalently, Raci is the forename as well as the last name.