in all, how many counting numbers from 200 to 500 are divisible by all of the following 2, 3, 4,5 and 6?

I think its 6 numbers. See below

Step-by-step explanation:

The numbers must end in 0 because they must be divisible by 2 and 5

240 is one number it is the first number between 200 and 500 which is divisible by the 5 numbers.

The LCM of the 5 numbers is 60 so we can add 300, 360, 420 and 480 to the list.