I have triplets TONNES. But that's because I influence that, lol, though one time when I was praying for one, single baby and I didn't do any of my fertility boosting techniques, guess what? Boom! Triplets!
Anyway, if you want triplets, this is what I do:
1) buy the fertile reward trait with your sims satisfaction points, I think I do it for both parents or maybe you can't do that in sims 4, don't remember
2) if you have outdoor retreat, make the elixir of fertility, again, don't know if both sims participating in the creation of your triplets can use it but you can try and see, fyi it requires your sim to have certain ingredients and the herbalism skill
3) if you have spa day, get the fertility massage
4) put the "on ley line" lot trait in your lot, I *think* the woohoo has to happen on that lot in order for it to influence the number of babies as opposed to giving birth on that lot, but I'm not sure, but I'd make your sims try for baby on an on ley line lot just in case
5) don't get a doctor sim to perform the "determine gender" or number of babies or whatever the interaction is because that makes it set the amount of babies to a set thing which may not be triplets, maybe it doesn't, but when I did this, despite doing loads of fertility tricks, I got like one baby
6) don't take the pregnancy test!! instead, have your sims try for baby and try for baby again and again until your sim gets the pregnancy notification because maybe it's just in my head but in my experience anyway, I've got more babies when doing tonnes of try for baby in a row then when I don't... Might be important to note though if you do this it might queue up another pregnancy after your sims pregnancy has finished because of all the try for babies they did (I've had this happen before to my sims)