The “to figure” verb.

I have been watching some an American television series lately and I have a question about the verb on in the title. When I was studying English a long time ago, this verb never appeared. There were another other verbs instead, such as estimate, understand, calculate, imagine, etc. In those this series the expression “figure it up” is frequently used on the dialogs by the characters. I wonder if this expression is also frequently used in other countries like United Kingdom, Australia or New Zealand.
I’d like to figure up know if this case is the same case as the one we have in the Spanish language amongst the south American countries and Spain. They usually use expression that, although they are perfectly correct and are in the royal academic dictionary, people barely use them in a common conversation here in Spain, and it seems as if, the people who use them, were speaking in old Spanish. So I’m trying to find out if, while I’m watching an American series, when the characters are not in a slang mood, the English expressions I’m listening are the same as if they would be spoken in the United Kingdom version.
As the Bernard Shaw quotation says: “two countries separated by a common language”. Is that true? Is the English spoken in the United States very different from the one spoken in the United Kingdom? What about Australia and New Zealand? This issue is one thing I would like to talk to my future language partners about.
Thanks for reading and correcting me :)

tienes dos tipos de lenguas inglés, inglés americano y inglés británico, por esta rázon hay palabras difirentes usado por muchas cosas

tal como ................ side walk (us) = pavement (uk) y fanny = significa "your bottom" aquí en inglaterra significa algo muy sucio