Is this what the N. Koreans just fired into the sea?

North Korea fired two missiles from what South Korea believes to be a 'super-large multiple rocket launcher' (MLRS). Flew 380 kilometers at maximum altitude of 97 km (Yonhap news agency). Stock photo attached. pic.twitter.com/WyUOvCrv72

— Hans de Vreij (@hdevreij) November 28, 2019

At what point does a "super large" MLRS stop being an MLRS and instead morphs into a ballistic missile capable of carrying a nuke?  I mean how far does a missile have to go before it more than an Intermediate Range Ballistic Missile?