If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is = Choose the correct choice from the following answers
A) 40320	B) 27720	C) 20160	D) 6720	E) 2520
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= 
<gadget id="calculator">7*5*9*8</gadget>
<output>2_520</output>
2520.   Answer: 2520.
<result>E</result>
If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is =