For my LS, we're still improving upon our method and trying to do better each time, but this is what works for us so far. For our tank party, we have NIN/DRK, PLD/NIN x2, WHM, RDM/WHM, and BRD/WHM. The secondary parties all have a mix of BLMs, SAM/THF, THF and BRD and a single RDM/DRK. If possible, I try to have a WAR/NIN in there to voke pods while BLM nuke them down.
For this method, we straight tank Omega to start. Usually, I have two tanks line up on either side of Omega and switch off tanking. SAM and THF can SATA at any time to switch hate on tanks. BLMs should manaburn Omega down and melee can WS as often as possible to bring him down to 50% quickly. What Stouter said, 4 legs, manaburn and on 2, TP burn. Don't over do it though, hate on anyone besides tanks can be dangerous. Have your PLD focus on enmity (haste for utsu recast) while the NIN focus on haste and enmity in the other slots if they can. Both will have haste, march, refresh, and ballad on at all times to maintain MP and shadows as well as provide for best hate generation imo. Make sure Slow and Elegy is maintained, if possible paralyze, but not necessarily needed (didn't seem to proc much).
Once at 50%, depending on time (you should bring it down rather quickly if you come prepared, 10 mins tops) this is the best time to farm. At this point, most of the WS are not extremely dangerous and will not kill the tank in one shot. Have BLMs spam tier 1 spells to feed TP and hope pods pop. When pods pop, have the WAR or if you're light on melee, a THF/NIN can steal/mug just to get initial hate. After that, two unresisted tier 4 will kill a single pod. Once a few pods pop, time runs low (15-10 min mark), or whatever (make the best decision so that you win), continue on. At this point, you just want to continue straight tanking just like the very beginning doing as much damage as possible.
Once you get to around 10%; however, it changes into it's final form. This form is the most dangerous as it hits incredibly hard and has a hate reset move very similar to throat stab, 95% damage, complete hate loss and ignores shadows. It can be avoided by kiting often, but when you recast utsu, he can still get you. Once it reaches this final form, I have the RDM chainspell stun and everyone goes all out, using two hours if necessary. PLD should invincible to maintain hate and do everything possible to keep hate off BLMs and RDM stunner.
We've used this method a couple of times and it's worked very well, but the pod drops were meh. The only issues we had were hate reset in final form which we avoided in future attempts by CS stun and in the next attemps, we had minor accidents and a slow CS stunner. In our next attempt soon, I hope to get it down perfectly with no deaths, I think we had two in our last.
Edit: I should note that once it gets to final form, it has TP regen and from what I am told resists damage more (I cannot confirm, never been anything besides NIN and WHM). That's why I prefer to not farm at final stage. It does make sense to do it then because it will spam pods easier and it'll be closer to death, but for starter groups, I recommend 50%. The hate reset can be killer, it spams it if you are stationary too long (read: Ichi) so I prefer to avoid it.