what is chance and odd that 3 people make flop flush

hello. i am woo sung. I play at casino in night of saturday.

I was dealed 6 and 7 diamonds. somebody in early position make big raise. i call because i want implyed odds. big blind player also make call.

flop is 4 diamond, 3 diamond and Jack diamond. i make flush in flop. big blind player make all in move. early position player make fast call. i think and make call because i did not trust them and call. i put early player on Ace Queen offsuit with flush draw and i put big blind player with 3 of a kind.

i was thinking i made best hand. all player flip cards. early position player have ace king diamond suited. big blind player has Queen and 2 diamond. no 5 diamond in turn and river and i losted about 500 dollars.

i ask anybody see hand like this. i make regret call 5 times blind raise pre-flop with 6 and 7 diamond. what should i done. i could not fold flop flush in board with no pair.

Pretty sure the odds would be, assuming there are only 3 players playing, (52/52)*(12/51)*(11/50)*(10/49)*(9/48)*(8/47)*(7/46)*(6/45)*(5/44), so .000000777% or 1 in 1,286,390. Of course this is assuming there are only 3 players, and they all make the flush on the flop.

Your answer is correct though a slightly more informative answer would be to take out the 52/52*12/51 because you know that your hand is suited. In general, you should separate known information from unknown information.

To OP, whatever the case, just know it's unlikely. How you play the hand is much more important. I'm not sure if I call 5bb's but I don't mind it in a loose game as you are getting good implied odds. However, be careful when you flop small flushes as even if you are ahead, there is reverse implied odds of someone drawing to the nut flush, and if you are behind, you may be drawing dead.