You dont have to worry about asbestos tiles as long as they are in good shape. The problem with asbestos tiles is when they crack or chip and release asbestos fibers into the air. Clean them with soap and water.

jomax and Clorox bleach follow directions off jomax bottle for mixing then pour this in a pump up sprayer .then spray one section of your home. let sit for 20 min. then rinse off .repeat all others. you con buy this at Lowes or at Home Depot

If the tile is in good shape, not broken and cracked, you can safely clean it. I hope this is the case! The hazard is when asbestos is released into the air. Perhaps the tile was painted to help seal it. Just clean the painted surface as you would any painted surface, trying not to destroy the paint. Use a good household cleaner and a weak bleach solution if you need to.

Here is a page about asbestos tile:

Asbestos needs to be disposed by an environmental company. Call an environmental company and ask for a proposal, they could charge you by tile or by lbs. Remember that asbestos is not good for your health so the sooner you take action the better. Good luck.

Call a professional,
you don’t want to mess with that stuff,
it is bad.