Working in a school that has a Bring Your Own Technology (BYOT) policy, I am keenly aware that in order to stay on top LMS systems will have to be accessible on mobile technology. Currently my students access Study Island and various math websites I find that will enhance learning. One of their favorite review activities is Kahotit!
Many LMS systems are mobile friendly such as Moodle and Schoology. Edmodo is also available in an app. Mobile technology access will be the biggest trend for LMS.