Divisibility

Question

What is the least number that is divisible by 2, 3, 4, 5, 6, 8, 9 and 10?

Answer 1

10 is a multiple of 5 (and 2), 9 is one of 3, 8 is one of 2, 6 is one of 3 (and 2), so that leaves us needing to only focus on 8, 9, and 10

 

10 * 9 = 90, but divided by 8 = 11.25

20 * 9 = 180. 180 ÷ 8 = 22.5

30 * 9 = 270. 270 ÷ 8 = 33.75

40 * 9 = 360. 360 ÷ 8 = 45

 

So the smallest number is going to be 360.