The ratio of two numbers is 5 : 2 and their HCF is 7. Their LCM is Options : 50 70 65 80
Question
The ratio of two numbers is 5 : 2 and their HCF is 7. Their LCM is
Options :
- 50
- 70
- 65
- 80
Solution
The ratio of the two numbers is 5:2, which means the numbers can be represented as 5x and 2x, where x is the common factor.
Given that their HCF (Highest Common Factor) is 7, we can say that x = 7.
So, the two numbers are 57 = 35 and 27 = 14.
The LCM (Least Common Multiple) of two numbers is the product of the two numbers divided by their HCF.
So, LCM = (35*14) / 7 = 70.
Therefore, the LCM of the two numbers is 70.
So, the correct option is 70.
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