No, its not different by bereau.

FICO is an independent company that creates credit scores algorithms, FICO 1,2,3,4 etc. Beureau's provide credit reports, and then sell the scores using their credit reports and the FICO algorithm. The algorithm used is determined by the lender when they purchase a score.

There are different score versions for two reasons.

(1) Different scores are better for different purposes. Some are used primarily for auto, others mortgages, other credit cards, etc. So lenders select what they want.

(2) Older scores are sunsetted, new ones are created that do a better job then older ones.

Vantage is an alternative algorithm developed by a consortium of beaureus because they are tired of paying FICO.