empress as I reread rhakim´s posts, I find out that he goes to LAX and not to LAS. In that case, there is a non-stop flight on UA to SEA and his routing up to now would be

BKK-LHR-YUL-BGI-YYZ-LAX-SEA-YVR-YYC-HNL-NRT-BKK (27.512 miles).

As empress already pointed out, there is room for additional segments. But – as I mentioned above - you have to know that on one of your “key routes” YUL-BGI-YYZ flights are not on a daily basis. Maybe you have to rearrange this itinerary and then the distance would be change.