12 Views

Question : The ratio of the two numbers is 5 : 7 and their HCF is 3. Their LCM is:

Option 1: 75

Option 2: 105

Option 3: 125

Option 4: 35


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 105


Solution : The two numbers are in the ratio 5 : 7, and their highest common factor (HCF) is 3. Therefore, the numbers are 5 × 3 = 15 and 7 × 3 = 21.
The least common multiple (LCM) of two numbers is given by the product of the two numbers divided by their HCF. So, the LCM of 15 and 21 is:
LCM = $\frac{15 \times 21}{3}$ = 105
Hence, the correct answer is 105.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books