Most popular?

Your questions is open ended... Most common LPS I would think would be Euphyllia and IMO they are easy to keep given ideal tank conditions which we should all strive for. Is there a certain coral you have in mind? There is way to much LPS to name and some are easy to take care of by one person and difficult for another...

Frogspawn: Easy
Hammer: Easy
Bubble: Easy
Torch: Easy
Elegance: Hard
Acans: Easy
 
IMHE:
The most difficult - Trachyphillia (none survived).

LPS are easy in comparison with the soft corals, but some are more sensitive, if conditions changed.

The sensitive (look worse for a some time), but hardy:
Cynarina, hammers, frogspawn.
Hardy: lobophillia, bi-color candycane with thick skeleton.
Very hardy:
scolymia, Symphyllia valenciennesi (drab multimouthed brain), tubastrea, candycanes with thin skeleton - neon green and cold-green-brown.

Have these for a few days, but look like hardy to me - recovering from damaged very well: acan echino and maze brain.
 
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