Question

two buckets can hold 272 litres and 425 litres of water respectively find the capacity of the largest bucket that can be filled 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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