How to properly clean lvt floor tiles

[unlikelychump]

They are off white but more brown at the moment. How do you get yours floor clean? Ive used some recommended product called rejuvenate or similar but it is a lot of scrubbing and a lot of floor so I am wondering about something better and quicker.
Any suggestions?

Should I steam clean it? Can I cover lots of ground that way?

I have a power glide hard floor cleaner and use elbow grease cleaner (just a little bit)