I almost can't imagine a reasonable upper bound. Maybe 1000? That would certainly be enough to be able to do some serious stuff.
The ability to sync memories and have the same experiences and past would be crazy. I could align myself and all the clones to a shared goal easily. With the amount of clones, I could do basically anything.
Only problem I can see is... is there a way to know the "original"? Would I be in control of my clones? Or would I myself just be another clone? I think I'd still go for something like 1000 even if I was just another clone.