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Last name Inouye (イノウエ , 井上 , Inouye ) , in all the world, is quite a rare family name. The last name Inouye is habitual in Canada, where it is a rare surname, the United States, and Japan. In absolute terms, the name is most common in the United States, Japan, and Brazil. Much more prevalently, Inouye is the forename as well as the last name.