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. 6
- b. 10
- c. 15
- d. 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.
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