Question
The least number which when divided by 3, 9, 12 and 16 leave zero remainder in each case and when divided by 17 leaves a remainder of 8 is:
Solution
LCM of 3, 9, 12 and 16Â = 144 Required number = 144, because it is exactly divisible by 3, 9, 12 and 16Â and it leaves remainder 8 when divided by 17.
More HCF and LCM Questions
- The LCM of two numbers is 180, and the numbers are in the ratio 5:9. What will be the sum of the numbers?
- The LCM of two positive integers is 660 and their HCF is 12. If one of the numbers is 132, what is the other number?
- The greatest number of four digits which when divided by 7, 9, 11 leave remainders 5, 7, 9 respectively is:
- Find the smallest number that leaves 11 as remainder when divided by both 24 and 30.
- The LCM of two natural numbers is 12 times their HCF. If the product of given two numbers is 10,800, then find the LCM of the numbers.
- Train X running at a speed of 32 km/hr crosses train Y in 20 seconds. Find the speed of train Y (in km/hr), if the sum of the length of train X and Y is 65...
- The ratio of two numbers is 12:14 and their LCM is 168. The numbers are:
- Three numbers are in the ratio 4 : 9 : 13 and their LCM is 2340. Their HCF is:
- Determine the total count of prime factors in the product: 217Â x 197Â x 107
- The LCM of two numbers is 960 while their product is 7680. Find the greatest common divisor of the two numbers.
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