11
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.
2520.
360
5040
The smallest number which is exactly divisible by the numbers 8 9 and 10 is 360.
12
27720
16
13
27720
13
11
The smallest number divisible by first four prime numbers is 2x3x5x7 = 210.
8
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.