Q: how do I move photos from android phone (LG) to my mac?

If the phone/photos do not show in Image Capture then maybe:

http://features.en.softonic.com/syncing-mac-and-android-is-easier-than-you-think

This is probably not the quickest or simplest way but this is how I do it between my LG G3 and my Mac.

1. LG phone is setup with Gmail account and photos are synced to Google storage.
2. On Mac, visit photos.google.com.
3. Select and download photos to Mac.

Another possibility is using Bluetooth to send the photos from the LG to the Mac. Transfer files between your Mac and Bluetooth devices - Apple Support

http://www.phototransferapp.com/android/

I've been using the iOS version of this app. It works really well.