Waking Multiple Times a Night

My son is almost 7 months old. He wakes 8-12 times a night and has done since the day he was born. I'm completely exhausted. I make sure he's not too hot/cold, hungry or needs a nappy change but he will still wake multiple times a night. I've read up on sleep training methods but after reading that leaving a baby cry can be mentally damaging I've been too afraid to try so I've just been using the pick up put down method, which of course isn't working. I was just wondering what others did to help their little one sleep better at night?