Besides the top-3/top-6 already owned by LV:
Two or Three in 2017.
At least two in 2018.
Maybe one in 2019.
If a team is among the best in the league (Wild for example), McPhee could ask for a pick in 2019.
At that time, Koivu, Staal, Neidereiter, Granlund and Zucher could all be gone.
At least some of them will be gone because there is not enough SCap.
Staal, Neidereiter, Granlund, Dumba and Zucher will need new contracts with a lot more money. They do not have enough SCap to keep all these players.
If they give a pick to keep Dumba and Staal, they will need to give at least a first round. They have none in 2017 so it will be either 2018 or 2019.
McPhee would probably want a first round in 2019 hoping Min drops.
Same with Anaheim.
Same applies with every team that are top-10.
We could easily see those first round picks being spread over the next three draft.
At least 5 first round picks besides their own picks.
Two or three for this year so the players would be ready to come in the team in 2020 or 2021.
That would mean 8 first round picks over the next three years including 3 of them in top-3/top-6.
LV will look at the teams and try to guess what year is best to get 1st round pick from top teams.