Find the least number divisible by 16, 18 and 32.
288
The required number is the LCM of 16, 18 and 32.
Prime factorising: \(16 = 2^4\), \(18 = 2\times3^2\), \(32 = 2^5\).
LCM takes the highest powers of each prime: \(2^5\times3^2 = 32\times9 = 288\).
The least number divisible by 16, 18 and 32 is 288.
Similar Questions
The ratio of two numbers is 2 : 3 and their HCF is 8. Find their LCM.
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 production units restart operations after 13.5 minutes, 18 minutes and 22.5 minutes. When will they restart together again ?
Three lights blink every 4.2 min, 5.6 min, and 8.4 min. When will they blink 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?
The sum of two numbers is 1215 and their HCF is 81. How many such pairs of numbers can be formed?
The LCM of two numbers in 48. Their ratio is 2:3 What is the sum of the numbers?
