Question

Two buckets hold 180 liters and 204 liters of water respectively . find the capacity of the largest bucket that can be filled an exact number of times from each bucket

Answer 1

In order to Tfind the capacity of the largest bucket that can be filled an exact number of times from each bucket, we have to factorize both the quantities of two buckets:
i.e. 180 = 3 x 4 x 15

and 204 = 3 x 4 x 17

Now LCM of 180 & 204 = 3 x 4 x 15 x 17 = 3060.

Thus the capacity of the largest bucket that can be filled an exact number of times from each bucket of 180 L and 204 L is 3060 L.

We can say this because the 180 L bucket can fill the 3060 L bucket in exact 15 times, similarly, the 204 L bucket can fill the 3060 L bucket in exact 17 times.