The least common multiple means that the least multiple that the numbers have in common. So you can make a little chart with each of the numbers multiples like so.. 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69, (Just added 3 each time) 5,10,15,20,25,30,35,40,45,50,55,60,65,70, (Just added 5 each time) 7,14,21,28,35,42,49,56,63,70,77 (Just added 7 each time) No we can go and look through the multiples and see what number they all have that's the same! You might have to keep added on multiples until you find some that are alike! You'll eventually reach 105 for each of the numbers and see that that's the first one that they have that's the same!! So 105 would be your least common multiple!
To be able to determine the rate at which the water is leaking from the pipe with the information given, you have to divide the number of cups by the number of hours in which they were collected: 12 cups/34 hours= 0.35 cups/hour According to this, the answer is that the rate at which the water is leaking from the pipe is 0.35 cups/hour.
