big tank contains some water it can be emptied completely by using small buckets of capacity 15 litres 20 litres and 25 can exact number of times what can be done please capacity of the time
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Minimum capacity of tank 300 L
Step-by-step explanation:
- Given data of capacity of bucket
First bucket capacity = 15 L
Second bucket capacity = 20 L
Third bucket capacity = 25 L
- Finding minimum capacity of tank, we have to find out L.C.M of bucket capacity.
- Prime factorisation of 15, 20 and 25
15 = 3 ×5
20 = 2 ×2 ×5
25 = 5× 5
- We know that L.C.M is multiplication of highest power of multiplication factor.
- So L.C.M of 15,20,25 = 2×2×3×5×5 = 300
- Thus minimum capacity of tank = 300 L
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