How much can I zoom with Lumia Camera in Lumia phone?

It's depending in the phone model you are using. For example, the following technical info about zooming applies only to Lumia Camera in the Lumia 1020:

3x zoom for still photos 6x zoom for 720p video 4x zoom for 1080p video

If you’re using Lumia Camera with some other product, see the relevant technical specifications.

Lumia Camera’s zoom is a high-resolution zoom, which means that you don’t lose resolution or quality when you zoom.