I agree with this. If your servers are registered in a central management server you can write a query in a query window and execute it against all your systems. You can use sp_readerrorlog or xp_readerrorlog. I prefer using xp_readerrorlog because you can filter with a keyword.

Here is an article on the parameters you can use with xp_readerrorlog:

Reading the SQL Server log files using TSQL[/url]