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Last name Munk (Munk , מונק , Мунк , along with others...) , in the entire world, is a common cognomen. The last name Munk is characteristic of Denmark, where it is quite a common surname, Greenland, and Iceland, where it is quite a rare surname. In absolute terms, the name is most common in Denmark, Germany, and the United States. Very seldom, Munk is the forename as well as the last name.