I am wanting to know the cheapest way to upgrade my Dimension L933r from a pentium 3 to a faster processor so i would be able to use it for gaming purposes
You have 2 socket 370 options; get the 1GHz or 1.1Ghz PIII. Those are your only choices.
mindless728 is dead on. Your system is old enough that gaming is just not a good option. If you get the upgrade you'll be throwing good money after bad.