Yashomati is from the Sanskrit यशोमती (Yaśomatī — yaśas fame/glory + matī possessing — possessor of fame, glorious one). Yashomati is one of the Sanskrit feminine names — central to traditional Hindu Vaishnava heritage. Sanskrit feminine name reflecting Hindu Vaishnava heritage.
Yashomati 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.
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In Pythagorean numerology the letters of Yashomati reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.