Produce the least positive number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
Accepted Solution
A:
because all numbers that are divisible by 10 is divisible by 5, all numbers that are divisible by 8 is divisible by 2 and 4, all numbers divisible by 6 is divisible by 2 and 3, we only need to find the smallest common multiple of 6,7,8,9,10 and 11 find the prime factors of each: 2,3 7 2,2,2, 3,3, 2,5, 11 factors that are shared can be used only once, so we have: 2*7*3*11*3*2*5*2=27720