Assuming you are talking about starting at three, the next four multiples are six, nine, twelve and fifteen.
The answer depends on next after what!
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3/5,6/5,9/5
24, 48, 72, 96, 120
The answer depends on where the "next" starts from!
Oh, dude, you want me to do math? Alright, let me dust off my calculator. So, the LCM of 3 and 8 is 24, right? Cool. The next four common multiples after that are 24, 48, 72, and 96. Boom, math wizard strikes again!
The answer depends on what the fraction is to be multiplied by!