This is a bit of a scary task. Someone tells you about 87 databases that all need to be restored from the most recent FULL backups. You can either spend the rest of your day pointing and clicking, or you can use some PowerShell power to crank out the script and get on with your day. Here is the PowerShell way.
I don't like to fire-off the actual backups from PowerShell, rather I just use it to script out the restore script. So, this PowerShell script will output the T-SQL restore script: