Question
The LCM of two natural numbers is 25 times their HCF. If the product of given two numbers is 22,500, then find the LCM of the numbers.
Solution
Let the HCF of the number be 'H'. So, LCM = 25H Product of two numbers = Product of their HCF and LCM So, 25H X H = 22,500 Or, H2 = 900 Or, 'H' = 30 or, H = - 30 Since, HCF cannot be negative. So, 'H' = 30 Therefore, LCM = 25 X 30 = 750
More HCF and LCM Questions
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- Find the greatest number that will completely divide 171,209 & 228 ?
- The least number which is exactly divisible by 10,15 and 20 is
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- Find the GCD of 1.08, 0.36 and 0.9.
- The greatest number, which when subtracted from 5462, gives a number exactly divisible by each of 25, 30, 32 and 40, is:
- Find the smallest number that leaves 11 as remainder when divided by both 24 and 30.
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