Seven Card Stud - Multiple Decks

Hi

Given the following frequencies for seven card stud with 1 deck

Royal flush : 4,324
Straight flush : 37,260
Four of a kind : 224,848
Full house : 3,473,184
Flush : 4,047,644
Straight : 6,180,020
Three of a kind : 6,461,620
Two pair : 31,433,400
Pair : 58,627,800
Ace high or less : 23,294,460

I am interested in the frequencies if you played out of eg. a Blackjack shoe (4 or 6 decks)

I have played around with Combinatorics for hours, but don't really have a way of verifying my results are correct. I was hoping to find the solution in the public domain (Google) but alas.

Can anyone help?

Thanks!