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I found interesting post here:

https://electronics.stackexchange.com/questions/325762/how-efficient-are-leds

However, it only gives the final results and not the steps he made. I tried to learn the formulas on wikipedia on my own but I couldn't figure out what variables need to have what values.

For example in that linked post the author stated:

Maximum for CRI=95 at 2800 K: 370 lm/W

If I have CRI=a and temperature = b, what would be maximum lm/w? PS sorry if it is in wrong forum, was a bit confused where to exactly post it.