If the ratio of two numbers is \(8 : 3\), and their HCF is 8, then their LCM is:
192
Let the two numbers be \(8k\) and \(3k\), since their ratio is \(8:3\).
Since 8 and 3 are co-prime, the HCF of \(8k\) and \(3k\) is \(k\).
Given HCF \(= 8\), so \(k = 8\).
The numbers are \(8 \times 8 = 64\) and \(3 \times 8 = 24\).
For co-prime ratio parts, LCM \(= k \times 8 \times 3 = 8 \times 8 \times 3 = 192\).
Hence, the LCM of the two numbers is 192.
Similar Questions
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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.
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?
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?
