The closest number that I could find is 1080, which is divisible by all numbers except 7. To me, 7 seems to be the hardest of them all to match. With this help, maybe you can figure it out.
Jakub Krcma says:
Actually, the smallest number divisible by the first ten numbers except 7 is 360 (which is why the circle has 360 degrees). And the smallest number divisible by the first ten numbers except 9 is 840 (a third of 2520, which is the smallest number divisible by the first ten numbers).
Pythor says:
The smallest natural number divisible by the first ten (10) natural numbers is 2520.
The smallest number which is exactly divisible by the numbers 8 9 and 10 is 360.
12
27720
13
27720
16
11
The smallest number divisible by first four prime numbers is 2x3x5x7 = 210.
27720. Try it. I think it works. From the internet.
Ans: The number factorial 6 (which is 720) is divisible by 1 through 6; then, 720 + 1 = 721 is your number.
Smallest composite number dividable by prime numbers is product of them all. In this case it is: 2x3x5x7x11 = 2310.
The smallest number that is divisible by all the numbers 2 through 12 is 27,720.