Class – 6

Maths

LCM and HCF Practice Questions

  1. Find the HCF of 135 and 225 using the prime factorization method.
  2. What is the HCF of 408 and 1032?
  3. Find the LCM of 48, 96 and 108 by prime factorization method.
  4. Is it possible to have two numbers whose HCF is 18 and LCM is 540?
  5. Two milk tankers contain 450 litres and 600 litres of milk respectively. Find the maximum capacity of a container which can measure the milk of both the tankers when used an exact number of times.
  6. Find the least number which when divided by 12, 15, 18 and 20 leaves a remainder 5 in each case.
  7. Find the smallest 4-digit number which is divisible by 18, 24 and 32.
  8. The length, breadth and height of a box are 75cm, 85cm and 95cm respectively. Find the longest tape which can measure the three dimensions of the box exactly.
  9. In a morning walk, three girls step off together from the same spot. Their steps measure 66cm, 78cm and 90cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps?
  10. HCF of two numbers is 2 and product of two numbers is 2340. Find the LCM of two numbers.

 

Answer Key

  1. 45
  2. 24
  3. 864
  4. Yes
  5. Maximum Capacity = 150 litres ; 3 ; 4
  6. 185
  7. 1152
  8. 5 cm
  9. 3960 cm
  10. 1170

 

 

 

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