At this time there is no Slingplayer support for your LG SmartTV. In order to view your Slingbox on that particular television you would need to purchase the AppleTV, Roku or Chromecast. In order to cast to the either of those devices you would need to purchase the Slingplayer Application for Android Phone, iPhone, iPad or Android Tablets.
Hope this helps!
Sling Media Forum Moderation Team