You can find info here on education, but you should be able to use the same login on all of the machines and download what you need.
What provisions does the Unreal Engine 4 End User License Agreement (EULA) make for educational use?
All academic institutions are permitted to sign up for a subscription. You can install the Unreal Engine on all of your computers and allow all users, such as students working on those computers, to use the engine.
If a student wants to install Unreal Engine 4 on a personal laptop, or to release a product developed on an academic computer, he or she must sign up for a subscription.