- 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

# Find The Least Number Which When Divided By 6,15 And 18 Leaves Remainder 5 In Each Case.

**To do:** find the least number which when divided by615 and 18 leaves Remainder 5 in each case

**Solution:**

To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.

L.C.M. of 6, 5 and 18

6 = 2$\times$3

15 = 3$\times$5

18 = 2$\times$3$\times$3

L.C.M. of 6, 15 and 18 = 2$\times$3$\times$3$\times$5

= 90

Now,

5 $+$ 90 = 95

**Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.**

Advertisements