If the LCM of three numbers is 60, then which of the following cannot be their HCF?Select one:a. 6b. 10c. 15d. 21
Question
If the LCM of three numbers is 60, then which of the following cannot be their HCF?Select one:a. 6b. 10c. 15d. 21
Solution
The HCF (Highest Common Factor) of any set of numbers is always a factor of their LCM (Least Common Multiple). In this case, the LCM is 60.
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
Comparing these factors with the options given:
a. 6 is a factor of 60 b. 10 is a factor of 60 c. 15 is a factor of 60 d. 21 is not a factor of 60
Therefore, the HCF of the three numbers cannot be 21. So, the answer is d. 21.
Similar Questions
The LCM of three different numbers is 140. Which of the following can be their HCF?
HCF and Lcm of two numbers are 7 and 140.If the numbers are between 20 and 45, the numbers are:a.35,28b.20,49c.none of thesed.30,38
The LCM of two numbers is 360 and their HCF is 15. One of the numbers is 45. The other is
HCF of three numbers is 3 and LCM is 27. Find the product of the three numbers.
If the LCM and HCF of two numbers are equal, then the numbers must be
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.