This was perhaps too simple a problem, to the point that very few responded 😦 Thanks to Abhinav Jain and Pratik Poddar for sending in the correct answers.
The answer is 360,360.
We are already told that the answer for the first 9 numbers is 2520. We also know that:
- 2520 should be divisible by 10 (since it is divisible by 2 and 5)
- 2520 should also be divisible by 12 (since it is divisible by 3 and 4)
- It should not be divisible by 11 and 13, both of which are prime numbers
The answer, therefore, is 2520 x 11 x 13 = 360,360
Hope you all enjoyed the puzzle!