Given that ($$100 \times~~a+ 10\times b+c$$)$$\times $$($$a +b +c$$)$$= 1926$$ where $$a$$, $$b$$ and $$c$$ are whole numbers, find the value of $$a+ b + c$$. 
Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value