- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Can two numbers have 15 as their HCF and 200 as their LCM ? explain

**Solution:**

In order for two numbers to have an HCF of 15, they both must have factors of 3 and 5. Therefore, the LCM (320) must also include at least one factor of 3 and one factors of 5.

The prime factorization of 200 is 2$\times$2$\times$2$\times$5$\times$5.

Since 200 does not have a factor of 3:

**Answer: NO**

Advertisements