When 2 enemies are within melee range, do you need to disengage from each one?

@ChrisPerkinsDnD @JeremyECrawford when 2(or more)enemies are within melee range, do you need to disengage from each one? Or does the action prevent all AOOs

— Joseph Diomede (@joedio78) April 26, 2017

When you take the Disengage action, your movement doesn't provoke opportunity attacks from anyone for the rest of the turn (PH, 192). #DnD https://t.co/a84nbmCLQO

— Jeremy Crawford (@JeremyECrawford) April 26, 2017