Given that three natural numbers $$A$$, $$B$$ and $$C$$ (the numbers can be the same) have a sum of $$19$$, find the largest possible value of $$A\times B\times C$$. 
Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums