Some question: If R is the least positive integer that is divisible by every integer from 12 to 16 inclusive, then R/13 is =\nOptions:\n(A)  40320\n(B)  21840\n(C)  1680\n(D)  840\n(E)  240
Some stream of consciousness:
User
The integer should be divisible by: 12, 13, 14, 15 and 16, that is 3*2^2, 13, 2*7, 3*5 and 2^4. The least common multiple of these integers is the product of 13, 7, 5, 3 and 2^4. Then, R/13 is (13 * 7 * 5 * 3 * 2^4)/13 = 7*5*3*16 = 1680. The answer: (C).
Assistant