LED are a bit odd in that they are sometimes made to replace the bulb and other times not.
Have you tried pushing in on the face of the bulb and then turn/rotate to release small catches on the base?
Two different types may be found.
Click these snips for better picture!
They "Might" be a type which unscrews but I think not likely!
But if you can remove the bulb, then find a match that might be the solution.
But if you have a meter to test for voltage, I would first check for that before buying new bulbs as there are several other points which might have failed.
One is the fuse or breaker. Are there other lights on this group which come on at the same time? Or does this lamp operate with the built in switch alone?
Things that might be the problem?
The bulb, but LED tend to be long lasting.
The switch as they are small and a bit prone to failing.
Wiring connections may come loose. If you take the fixture off the ceiling and tug a bit, you may find a set of wire connection are 6-8 inches back in the ceiling and one may have come loose.
And there are a number of other places which we could chase if you get that far!
I took a look at drawings and noted there are two different build dates for your RV. If you can look at the serial number (NOT VIN!) of the RV, it is on a label near the driver's left side. The 7th number of 1 for early build or 2 for later and we can go to the correct drawings for more details if needed.
Good luck on the bug hunt!