Question
If the highest common factor of two numbers is 20, then which of the following may be the least common multiple of the numbers?
Solution
LCM must be divisible by HCF. Only 100 is divisible by 20. So, 'possible least common multiple of the numbers is 100'.
More HCF and LCM Questions
- If the highest common factor of two numbers is 12, then which of the following may be the least common multiple of the numbers?
- Three numbers x, y, and z are co-prime to each other such that xy = 91 and yz = 154. Find the value of (x + y + z).
- The HCF and LCM of two natural numbers are 6 and 36, respectively. What is the difference between the two numbers, if one of the numbers is 18?
- The sum and difference of L.C.M and H.C.F of two numbers is 312 and 208 respectively. If one of the numbers is 52, find the other number.
- Find the difference between sum of digits of LCM and HCF of 54, 72 and 90.
- The LCM of x and y is 2057 and their HCF is 23. If x = 187, what will be the value of y?
- Find the least number of equal sizes square tiles which can be fitted in a rectangular room whose sides are 360 m and 480 m?
- Two numbers are in the ratio 5:7. The product of their H.C.F. and L.C.M. is 5040. The sum of the numbers is:
- Calculate the number of factors of 480.
- Find the LCM of 24, 30, 35, 40.
