Problem Solving (PS) | Boris has the same number of orange, purple, and green marbles that he

Boris has the same number of orange, purple, and green marbles that he wants to arrange in groups. He wants to arrange the orange marbles in groups of 15, the purple marbles in groups of 13, and the green marbles in groups of 14. What is the least number of marbles of each color Boris must have in order to make these groups and have no marbles leftover?

A. 546
B. 910
C. 1,365
D. 2,730
E. 5,460

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