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Question

What is the LCM of 1/3, 5/6, 2/9, 4/27?

This question was previously asked in
CDS I 2019 Elementary Mathematics Previous Year Paper (03-Feb-2019)
The correct answer is

20/3

The correct answer is 20/3.

LCM is always greater than or equal to the largest number in the set. HCF is always less than or equal to the smallest number in the set. If two numbers are prime, their HCF is 1, and their LCM is their product. If one number is a multiple of another, their HCF is the smaller number, and their LCM is the larger number.

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Similar Questions

  1. If (x + k) is the HCF of x 2+ 5x + 6 and x 2+ 8x + 15, then what is the value of k?

  2. Let L be the LCM and H be the HCF of two given numbers. L and H are in the ratio 3 ∶ 2. If the sum of the two numbers is 45, then what is the product of the numbers?

  3. A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the minimum number of tiles required ?

  4. The sum of LCM and HCF of two numbers is 1484 and the difference between LCM and HCF is. 1428. If one of the numbers is 112, then what is the other number?

  5. The LCM of two prime numbers p and q is 2231, where p > q. What is the value of p - q ?

  6. Three runners are running in a circular track, and they complete one round in 20, 30 and 35 minutes respectively. When will they next meet at the starting point ?

  7. What is the least perfect square which is divisible by 3, 4, 5, 6 and 7?

  8. If (x - k) is the HCF of x 2+ ax + b and x 2+ cx + d, then what is the value of k?

  9. HCF of two numbers is 12. Which one of the following can never be their LCM?

  10. X, Y and Z start at some point and same time in the same direction to run around a circular stadium. X completes a round in 252 seconds, Y in 308 seconds and Z in 198 seconds. After what time will they meet again at the starting point?


Important Questions from LCM and HCF

  1. The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:

  2. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  3. Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

  4. The sum of two numbers is 1215 and their HCF is 81. How many such pairs of numbers can be formed?

  5. The LCM of two numbers in 48. Their ratio is 2:3 What is the sum of the numbers?

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