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. 12345................45 when divided by 46,remainder?

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A school has 120, 192 and 144 students enrolled for its science, arts and commerce courses. All students have to be seated in rooms for an exam such that each room has students of only the same course and also all rooms have equal number of students. What is the least number of rooms needed? 1234...............4465 when divided by 45(series is upto the natural no. 4465)