Question
The HCF of two numbers is 12 and their LCM is 180. If one of the numbers is 36, find the other number.
Solution
For two numbers a and b: a × b = HCF × LCM Here: 36 × b = 12 × 180 = 2160 So b = 2160 / 36 = 60 Answer: The other number is 60.
More HCF and LCM Questions
- If the total ages of A and B is 18 years more than the total age of B and C. C is how many years younger than A?
- The smallest number which when divided by 29 and 33 leaves remainder 11 and 15 respectively is:
- The square of sum of two numbers is 9,801 and the sum of squares of the same two numbers is 5,265. If their H.C.F. is 9, then find their L.C.M.
- What is the greatest number which divides 18, 29, and 40 and gives the remainder as 2, 3, and 4 respectively?
- Sum of the two numbers is 40 and their HCF and LCM are 8 and 48, respectively. Find the sum of reciprocal of the given two numbers.
- The HCF of 2165 and 7409 is 239, their LCM is:
- The least number which when divided by 5, 10, 12 and 15 leave zero remainder in each case and when divided by 18 leaves a remainder of 6 is:
- Find the greatest number that will divide 245, 395 and 200 without leaving a remainder.
- The smallest number which when divided by 28 and 32 leaves remainder 10 and 14 respectively is:
- The LCM of two numbers is 40 times its HCF. If the product of the numbers is 1440, find their HCF.
Relevant for Exams:
