Removed marley tiles, the internet has me worried

[JohnStitch]

I'm prepping the downstairs of my house for a karndean LVT floor and yesterday removed the Marley tile floor from our dining room. This floor would have been down since the mid 60s when the house was built. Anyway, whilst googling something else this morning I was met with a load of sites talking about asbestos being present in these tiles. I didn't know that and took no precautions when taking them up. To be fair they mostly popped straight up or broke quite cleanly , there was no shattering and it didn't seem terribly dusty. So now I'm left with a concrete floor that while smooth, is black with the remnants of the adhesive. I also read that this could contain asbestos. Does this need to be removed to lay the latex screed for the LVT? Also, as I've pulled this up without any protection, am I likely to have put myself at risk? Got 3 more rooms to do so would be good to know...

[JohnStitch]

Sorry if I'm being a bit thick here, but when you say damp the floor down do you mean before pulling up the tiles?

Also been reading about airborne particles sticking around for years, other than keeping windows open in the areas that I'm removing the tiles, is there anything else I should do? (think I should stop googling for answers)