Question
The LCM of two natural numbers is 15 times their HCF. If the product of given two numbers is 13,500, then find the LCM of the numbers.
Solution
Let the HCF of the number be 'H'. So, LCM = 15H Product of two numbers = Product of their HCF and LCM So, 15H X H = 13,500 Or, H2 = 900 Or, 'H' = 30 or, H = - 30 Since, HCF cannot be negative. So, 'H' = 30 Therefore, LCM = 15 X 30 = 450
More HCF and LCM Questions
- The HCF and LCM of the two numbers are 225 and 306 respectively. When the first number is divided by 3, the quotient is 15. The other number is.
- Ratio of two numbers 8:15 and their LCM is 2400. Find the sum of the given two numbers.
- Let x be the smallest number which when subtracted from 31560 makes the resulting number divisible by 13, 16, 25 and 30. The product of the digits of x is ...
- The greatest number of four digits which when divided by 10, 12, 14 leave remainders 8, 10, 12 respectively is:
- LCM of two numbers is 18 times their HCF. The product of the numbers is 64800. What will be the maximum possible difference between the numbers?
- The HCF of two numbers is 9. Which of the following can never be their LCM?
- The greatest number, which when subtracted from 6834, gives a number exactly divisible by each of 15, 28, 32 and 35, is:
- The HCF of two numbers is 84, and their LCM is 2520. What is the sum of the numbers?
- Sum of the two numbers is 49 and their HCF and LCM are 7 and 70, respectively. Find the sum of reciprocal of the given two numbers.
- A vendor has 3 kinds of shakes i.e. chocolate, strawberry and banana. He has 180 litres of chocolate shake, 360 litres of strawberry shake and 540 litres o...
