The moon meaning is most common — celebrated in the Mid-Autumn Festival.
Yue is widely used as a given name across China and the Chinese diaspora.
Yue does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Yue reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.