What is the smallest number that, when you add 5 to it, becomes divisible by 6, 9, 15, 20, and 24?
Explanation
To solve this, find the least common multiple (LCM) of 6, 9, 15, 20, and 24, which is 360. The number plus 5 must be a multiple of 360, so the number is 360 - 5 = 355.