Question

Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.

Answer 1

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