Do all video poker machines in Las Vegas use the same random number generator? Therefore is it true that the only difference between one machine and another is the payout table?
The answers, in broad terms, are yes and yes.
Wikipedia lists 18 companies that produce random number generators for hardware, such as video poker machines. RNGs date back to the 1940s and a number of different types inclue cryptographic and non-cryptographic, whether they use block or stream ciphers or external sources of randomness, whether they're true or pseudo RNGS, etc.
But for simplicity's sake, we can assume that whatever the RNG, it randomizes the cards that appear on the video poker screen when you hit the Deal/Draw button. So yes, the difference is entirely in the type of game and the pay schedule of the game.
The answer is not up to your usual standard, and is likely wrong. The questioner wants to know, foe example, if all VP RNGs are linear congruential generators [of the form X_{n+1} = (a X_n + c) mod m], and if so do they use the same modulus m. If you don't know the answer, it's OK to say so.