Math, asked by Aditikc, 11 months ago

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

Answers

Answered by dheerajk1912
6

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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