The ratio of two numbers is 2 : 3 and their HCF is 8. Find their LCM.
48
If the numbers are in the ratio 2 : 3 with HCF 8, the numbers are \(2\times8 = 16\) and \(3\times8 = 24\).
Since 2 and 3 have no common factor, the LCM of the two numbers is \(2\times3\times8 = 48\).
The LCM of the two numbers is 48.
Similar Questions
Find the least number divisible by 16, 18 and 32.
Three water pumps operate at intervals of 6.25 minutes, 8.75 minutes and 12.5 minutes respectively. After how many minutes will they operate together again ?
Three machines require maintenance at intervals of 5.6 hours, 7 hours, and 8.4 hours respectively. If they were maintained simultaneously in the beginning, after how many hours will they simultaneously require maintenance again ?
Three lights blink every 4.2 min, 5.6 min, and 8.4 min. When will they blink together again ?
Three production units restart operations after 13.5 minutes, 18 minutes and 22.5 minutes. When will they restart together again ?
The HCF of two numbers is 9 and their LCM is 162. Find the product of the numbers.
Find the LCM of 1, 4, 6, 12, 24, 36, and 54.
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?
