Information

The secret key

The secret key

Sherlock Holmes has sent some secret documents in a safe whose combination is a number that is divisible by 1, 2, 3, 4, 5, 6, 7, 8 and 9 and is also the minimum number that meets this property.

What is the secret key?

Solution

Calculating the least common multiple of all numbers from 1 to 9 we find that the secret key is 2520.