SOLUTION: what will be the capacity of the smallest drum which can be filled completely using each of the cups that can fill exactly 75 ml, 200 ml & 140 ml?

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Question 1042412: what will be the capacity of the smallest drum which can be filled completely using each of the cups that can fill exactly 75 ml, 200 ml & 140 ml?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I must use each of the cups so the drum must have a volume of at least,
V%5Bmin%5D=75%2B200%2B140=415ml
or if you mean I must fill the same size drum using each cup then,
75=3%2A5%5E2
200=2%5E3%2A5%5E2
140=2%5E2%2A5%2A7
So,
LCD=2%5E3%2A3%2A5%5E2%2A7=4200ml

Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.
LCM = 2%5E3%2A3%2A5%5E2%2A7 = 4200 ml

LCM = least common multiple.