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

Given: Capacity of buckets  =  272 L , 425 L.

To find: The largest bucket which can be filled by 272 L , 425 L buckets exact number of times.

Solution: We need to find L.C.M

272 - 2 $\times$ 2 $\times$  2 $\times$  2 $\times$  17

425 - 5 $\times$  5 $\times$  17

L.C.M is  $2^4  \times 5^2  \times 17  =  6800$

6800 L is the  largest bucket which can be filled by 272 L , 425 L buckets exact

number of times.

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Updated on: 10-Oct-2022

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