DW+BH+GT path to continually lowering synchronized firings

Monotonically Decreasing Least Common Multiple Spends

As a relatively new player, I got pretty elated on my most recent UW buy when I managed to get the GT. I completed the trifecta.

I wasn't sure how to progress after this point while keeping things synchronized, so I did a brute force search for a path to upgrade for these three UWs and allow them to have a reasonably short synchronized firing. After building out all the spending combinations, using the data from the wiki, I sorted by total stones spent, then filtered out invalid progression (can't un-spend those stones!) and then found the combinations where the least common multiple of the cooldowns was lower than the last combination.

The idea here is that you can use the Delta between your current combination and the next combination as a target of stones to save up so that you can jump to the next configuration that lowers the LCM which represents the synchronized firings of the UWs. I figured this would keep my farming revenue up as some of the combinations really mess with the sync; spending just 18-20 stones a GT or DW (or both) at the start you can go from an LCM of 600s (10min) to 165,300s which is nearly 42 hours.

Probably overkill for the task at hand, but hopefully some newer players can make use of this information. At the very least I'll know where to find it when it disappears into the mess that is my desktop.