Question

Two buckets hold 272 liters and 425liters of water respectively . find the capacity of the largest bucket that can be filled an exact number of times from each bucket

Answer 1

Given : Two buckets hold 272 liters and 425liters of water respectively .

To find :  the capacity of the largest bucket that can be filled an exact number of times from each bucket

Solution:

To find largest bucket which can be filled by 272 litres bucket & 425 litre buckets  exact number of times

we need to find LCM of 272 & 425

272 = 2 * 2 * 2 * 2 * 17

425 = 5 * 5 * 17

LCM = 2 * 2 * 2 * 2 * 5 * 5 * 17

LCM = 6800

capacity of the largest bucket that can be filled an exact number of times from each bucket  is 6800 Litre

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