Wahisietel: Go to Nardah. Go to the house of Ali the Wise, north of the Elidinis temple, and use the charged engrammeter there.
Azzanadra: Go to Jaldraocht pyramid. Use the engrammeter in the altar room.
Enakhra: Travel to Enakhra's temple. Use the engrammeter in the central room.
Akthanakos: Travel to Enakhra's temple. Use the ladder in the central room, go through the magic barrier and up the ladder. Use the engrammeter in the first chamber.
Bilrach: Go to Daemonheim. Use the engrammeter next to the banker.
Hazeel: Go south of Ardougne. Go into the dungeon east of the clock tower. Take the raft to the Hazeel Cult headquarters. Use the engrammeter.
Lucien: Go to Varrock. Go to Lucien's house, west of the Grand Exchange. Use the engrammeter inside.
Zemouregal: Make sure you have a summoned macaw and are wearing insulated boots. Go to Varrock. Go to Hartwin in Varrock Castle, on the 2nd3rd floor[UK] of the north-west tower. Ask him to lead you to the chaos temple.
Go down the trapdoor, and follow the corridors full of armoured zombies.
Ignore the human detector corridor; squeeze through the pipe in the next room. Follow the passage around to another pipe.
Try to go through it. Then right-click on the summoned macaw and remote view.
Go into the south room in the corridor, use the engrammeter.
Sliske: You do not need to go to where Brother Samwell is, just use the invitation box to be teleported to the Empyrean Citadel. Use the engrammeter in the podium/throne room.
Mizzarch: Go to the Digsite. Go down into the Senntisten Temple (west winch). Use the engrammeter in the altar room.
Jhallan: Go to the Tale of the Muspah cave (above the entrance to Keldagrim). Cross the river, enter the large cave, cross the bridge, use the engrammeter on the central island.
Palkeera: Go to the ritual plateau. Use the engrammeter next to the ritual marker.
Lamistard: Go to the ritual plateau. Go west to Zemouregal's fortress. Use the engrammeter inside. Of the large front door, only the left half isn't locked.
Ralvash: Go to Ghorrock. Go into the fortress courtyard and use the engrammeter.
Take the final memory to Kharshai, receive your reward.