The four members of a jazz quartet all play in different rhythms. The pianist plays in 9/8 time, meaning that his downbeats occur every 9/8 of a measure of time. Meanwhile, the saxophonist plays in 7/4 time, the harpist in 5/8 time, and the drummer in plain old 4/4 time (all with respect to the same measure of time as the pianist). If all four musicians start a song together on the same downbeat, how many measures later will all their downbeats occur simultaneously?
(A) 315
(B) 630
(C) 1,260
(D) 2,520
(E) 5,040
[spoiler]OA=A[/spoiler]
Source: Manhattan GMAT
(A) 315
(B) 630
(C) 1,260
(D) 2,520
(E) 5,040
[spoiler]OA=A[/spoiler]
Source: Manhattan GMAT
