If things don't converge by 506-60 steps, I usually try to find a better strategy, rather than just wait (which isn't to say that some problems do require many steps, but at least you want to try a bit first, before resorting to pure waiting).
It's misleading to call this an LDOS issue, however, if it's the self-consistent calculation that isn't converging. Also the price of the computer and the amount of memory is irrelevant for how the convergence proceeds.
Besides this, there are not enough details to provide any more specific advice. Increase number of history steps, make sure the electrodes are long enough, are "the usual suspects", but if you want me to look at the structure or parameters, it's best to provide the script with full details.