Question
Find Least Common Multiple of 360360 and 27720 using division method..
Answer
LCM( 360360, 27720 ) = 360360
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 360360 | 27720 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
| 2 | 360360 | 27720 |
| 180180 | 13860 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 360360 | 27720 |
| 2 | 180180 | 13860 |
| 2 | 90090 | 6930 |
| 3 | 45045 | 3465 |
| 3 | 15015 | 1155 |
| 5 | 5005 | 385 |
| 7 | 1001 | 77 |
| 11 | 143 | 11 |
| 13 | 13 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 360360, 27720 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 13 = 360360 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator