Use some thinking to answer the following question. If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =
Options:
(A) 360
(B) 720
(C) 2520
(D) 3960
(E) 6720
The integer should be divisible by: 3, 4, 5, 6, 7, 8, 9 and 10, that is 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, N/7 is (7 * 5 * 3^2 * 2^3)/7 = 5*9*8 = 360. So the final answer is (A).