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Lyoto Machida fought for Bellator MMA after leaving the UFC. Bellator MMA is a mixed martial arts promotion company that was founded in 2008. It is the second largest mixed martial arts promotion company in the world, behind the UFC. Bellator MMA has held events in the United States, Europe, and Japan. Lyoto Machida is a Brazilian mixed martial artist who has competed in the UFC and Bellator MMA.