Find the largest number that can divide that product of any four consecutive natural numbers?48722496

The largest number that can divide the product of any four consecutive natural numbers is 24.

Here's why:

Let's consider four consecutive natural numbers as n, n+1, n+2, n+3.

1. Among these four numbers, at least one of them is divisible by 2 (since every second number is even).

2. Among these four numbers, at least one of them is divisible by 3 (since every third number is a multiple of 3).

3. Among these four numbers, at least two of them are even, which means the product is divisible by 4 (since every fourth number is a multiple of 4).

So, the product of any four consecutive natural numbers is always divisible by 234 = 24.

Therefore, the largest number that can divide the product of any four consecutive natural numbers is 24.

The number 48722496 you provided does not seem to be relevant to the question.