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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Adam laid $2022$ tiles in a long line. Beata removed every sixth tile. Carla then removed every fifth tile. Doris then removed every fourth tile. Lastly, Eric removed all of the remaining tiles. How many tiles did Eric remove?

(A) $0$ (B) $337$ (C) $674$ (D) $1011$ (E) $1348$

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