The ratio of two numbers is 21:29 and their HCF is 8. Their LCM is:
4872
Let the numbers be 21x and 29x. Since 21 and 29 have no common factor, their HCF is x.
HCF = x = 8
So the numbers are 21 × 8 = 168 and 29 × 8 = 232.
LCM = HCF × 21 × 29
= 8 × 609
= 4872
Check: HCF × LCM = 8 × 4872 = 38976 and 168 × 232 = 38976, so the product rule holds.
Hence, 4872.
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Important Questions from LCM and HCF
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:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
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What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?
Which of the following is a pair of co-primes?
