Is there a number which is divisible by all numbers 1 to 9?

Answer 1

Answer 1:

Yes, there are infinitely many numbers divisible by all numbers 1 though 9. You can find the smallest such number by multiplying all of the numbers 1 through 9 together:

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = 9! = 362,880

362,880 and any number that is a multiple of 362,880 are divisible by every number 1 to 9.

Answer 2:

Actually, I believe 2,520 is the smallest number divisible by 1-9.

Multipying 1-9 does give you 362,880, and that is a good way of always getting an answer. But it's not always the smallest answer.