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Family name Dalai (Dalai , 大来 , Далай ) , in the world, is a widespread last name. The last name Dalai is habitual in India, where it is quite a common surname, Mongolia, and Oman, where it is quite a rare surname. In absolute terms, it is the most numerous in India, Mongolia, and China. Much less frequently, Dalai is the forename as well as the last name.