Need help, stains on floor from rubber

I purchased a portable washing machine a few months ago. It didn't come with a caster kit (have since ordered one and am waiting for it to be delivered). It has rubber feet. In the begining I had problems with the fill hose leaking onto the floor under the machine (solved that problem by turning the water on & off as needed). After I'd finish washing I'd move the machine to mop the floor and of course the feet still were wet. Anyway, I have all these round circles all over the floor. Have tried cleaning with soap & water. It faded them very slightly. It's very cheap tiles, I think it's linoleum. Any suggestions other than replacing the tiles? Lisa