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Last name Shor (Shor , شور , Шор ) , around the globe, is a common surname. The family name Shor is characteristic of Israel, where it is quite a common surname, Lebanon, where it is quite a rare surname, and Belarus. Not in comparison with a country's population, the name is most common in India, Israel, and Russia. Much less frequently, Shor is the forename as well as the last name.