![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
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 greatest 3 digit number which is divisible by the number 4 ,5 and 6.
Given :
The greatest three digit number which is divisible by the numbers 4 ,5 and 6
To find :
We have to find the greatest three digit number.
Solution :
The greatest three digit number which is divisible by the numbers 4 ,5 and 6 is a multiple of the LCM of 4,5 and 6.
LCM of 4,5 and 6 is,
$4 = 2\times2$
$5 =1\times5$
$6=2\times3$
LCM of 4,5 and 6 $= 2\times2\times3\times5 = 60$.
Multiples of 60 are
60,120,180,240,300,360,420,480,540,600,660,720,780,840,900,960,1020,....
Therefore, the greatest three digit number which is divisible by the numbers 4 ,5 and 6 is 960.
Advertisements