The Le Mans specs changed from year to year. The 1984 model can be seen here:
https://www.sheldonbrown.com/centuri...lemans-12.html
i have a 1986 Le Mans RS and it is a superb bike. The 1984 model also sounds like it has really good bones, with a double-butted Chromoly tubeset. If that were my bike and I intended to use it as a commuter, I would get it powdercoated for durability in a boring color. No decals, no pinstriping. I would then choose components that are old and cheap but work well, such as old Suntour derailleurs and cheap SR cranks.
I do something similar with old French bikes. My current errand and beater bike is an Astra, which has a horrible paint job and really twisted-up decals. It has Mafac brakes that work very well but are not highly regarded. Similarly, the wheels on the bike work fine but have cheap bits. The only thing I spent any money on is the sealed bearing bottom bracket. In short, look for parts that offer good function even though they are not worth a thing to a thief.