It would be the easiest way to do it, honestly. Just bug the big guy, asking him if he would rather just tell you the answer or make you go experiment.
I actually have a theory that the beads the Lord Ruler had when he moved the Well weren't the only Lerasium beads around. It seems like Preservation would have made sure there were enough beads plus some extra in case his foresight was wrong. Plus, there weren't 16 beads that we know of, which, given Leras's obsession with signaling about the number 16 in stuff, would have made a lot more sense. Counting the 9 given to the original nobles, the one Hoid stole, and the one Elend burned, there's still 5 around somewhere, theoretically.