As for your other question, the luxmeter only measures a small point of light so you can’t really turn that into a lumen number without using an integrating sphere.
If you know the area of your spot, and you know the lux at every point on the spot, lumens is simply the lux multiplied by the area in m^2.

The complicated part is that it cannot be a flat area, it needs to be the area on the surface of a sphere, where the distance from the light source is constant.

If you go far away, however, you can approximate the lumens based on the flat area because a sphere with a large radius has very little curvature and it will only introduce small error.
In this case, however, you will need to use the lux at that farther distance, not candela (lux @ 1m)