When you want the lottery of each currency separated, you could put them in the same database, but in different collections for each currency. That way you can easily decide which data is currency-agnostic (like user accounts) and which data is currency-dependent (like bets).
Keep in mind, though, that any queries which get data about lotteries in different currencies will get more complicated, because you can only query one collection at a time. When you need a lot of such queries (like when the user has a dashboard where he sees all loteries he currently takes part in regardless of currency), you should rather go for the solution with a currency-field.