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The idea behind paying off the lowest balance first, like Dave Ramsey suggests, is to get results fast, which keeps people motivated. If you focus on a higher interest account with a high balance that'll take a long time to pay off, many people will stop putting the extra money towards it and return to just paying the minimum. If they can knock out a lower balance card in a few months and carry on to the next one, it'll give results that are more visible and help them stick with it.
No matter how you do it, the snowball method is much better than just paying the minimums. The trick is sticking with it.
Ramsey's plan is pretty good for most people that don't want to get too involved in their finances. It might not be the optimum plan, but at least it's a good enough plan and probably better than what most people are already doing.
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