I am researching the phone for purchase. After reading your thread, I poked around and ended up here https://fjallfoss.fcc.gov/oetcf/eas/...'BEJLG420G'
This FCC site gives an 18 page PDF doc that does show "LG 240g" as the model number. I don't have one so I can't swear it's the right one. It lists a video option and a micro SD option. I'd be curious to see if your phones have either of those things on them.
Hope it helps...sorry if it just wastes your time.