Ash from wood/solid fuel burner

We have a wood/multifuel burner. Im wondering if the ash is any use for in the garden? It is mostly wood ash but with a little smokeless coal mixed in. I could sieve it if necessary. We have a bin full o ash every few months. Up to now it has been put down in gateways and around the bottom of a stile to cover the mud but is it any use in the garden?
I was thinking I could spread it over the lawn and the grass would grow through it to help even out a bumpy lawn or maybe it could be dug into the beds?
Any views for or against?

Wood ash is fine on the garden in the veg borders, round fruit trees, etc but smokeless fuel ash might be ok for paths.  I wouldn't put it on my veg beds as I don't know what's in it    If I burn smokeless fuel I don't burn wood at the same time, that way you get two distinct sets of ash. I wouldn't mix the two as I like to use the wood ash on my garden

I know the ash wood is very good against snails. Also it's a very good natural fertilizer to make the earth better.