The LCM of three different numbers is 140. Which of the following can be their HCF?
Question
The LCM of three different numbers is 140. Which of the following can be their HCF?
Solution
The Highest Common Factor (HCF) of any set of numbers is a factor of all the numbers. Therefore, the HCF of three numbers whose Least Common Multiple (LCM) is 140 must be a factor of 140.
The factors of 140 are: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.
So, the HCF of the three numbers could be any of these values.
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