If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is = Select
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= 
<gadget id="calculator">5*9*8</gadget>
<output>360</output>
360.   360nswer: 360.
<result>A</result>
If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =