If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is =\nOptions:\n(A)  40320\n(B)  27720\n(C)  20160\n(D)  6720\n(E)  2520 Hmmm, my stream of consciousness:
User
The integer should be divisible by: 4, 5, 6, 7, 8, 9, 10, 11 and 12, that is 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 3*2^2. The least common multiple of these integers is the product of 11, 7, 5, 3^2 and 2^3. Then, M/11 is (11 * 7 * 5 * 3^2 * 2^3)/11 = 7*5*9*8 = 2520. So, the answer is (E).
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