Question
If the highest common factor of two numbers is 25, then which of the following may be the least common multiple of the numbers?
Solution
LCM must be divisible by HCF. Only 125 is divisible by 25. So, 'possible least common multiple of the numbers is 125'.
More HCF and LCM Questions
- 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.
- Find the difference between sum of digits of LCM and HCF of 28, 42 and 70.
- LCM of two numbers is 18 times their HCF. The product of the numbers is 64800. What will be the maximum possible difference between the numbers?
- The least number which when divided by 4, 7, 9, 11, and 13 leaves the same remainder 1 in each case, is:
- 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 HCF of two numbers is 12. Which one of the following can never be their LCM?
- If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of numbers is 25?
- The sum of the HCF and LCM of two numbers is 544, and the LCM is 16 times the HCF. If one number is 34, find the other. (find the approximate value)
- The product of two numbers is 1344 and their L.C.M is 168. What is the H.C.F of the two numbers?
- The H.C.F. of two numbers is 16 and the other two factors of their L.C.M. are 4 and 13. The larger of the two numbers is:
