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.
Similar Questions
The product of two numbers is 231. If the HCF is 11, then their LCM isOptions :26212825
Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?
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 Options :406080120
The LCM of two numbers is 35322. If the numbers are in the ratio 1:3, then HCF is:radio_button_unchecked11774radio_button_unchecked35322radio_button_unchecked23542radio_button_unchecked58870
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.