I imagine that @zenvelo has the math right.
From an investing approach, however, it would make no sense at all to invest your money this way. The commissions (as a percentage of cost) would be ridiculously high – around 10% – compared to the potential return.
If you really want to have access to the whole of the Dow’s components, you would be far better off buying shares in an Index fund (Vanguard, for example) or in one of the myriad of ETFs that deals with the Dow or TSX.