LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
8 views
in Aptitude by (30.0k points)
closed by
If the LCM of two numbers is thrice their HCF and their product is 243, then find their LCM.
1. 81
2. 9
3. 27
4. 36

1 Answer

0 votes
by (53.7k points)
selected by
 
Best answer
Correct Answer - Option 3 : 27

Given:

The product of two numbers is 243

Their LCM is thrice of their HCF

Formula used:

Product of two numbers = HCF × LCM

Calculation:

Let the HCF be x and LCM be 3x

Now, from the formula, we can write, 3x × x = 243

⇒ 3x2 = 243

⇒ x2 = 81

⇒ x = 9

⇒ 3x = 27

∴ The LCM of the two numbers is 27.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...