Find Least Common Multiple of 1200, 3600 and 6000 using division method..
Answer
LCM( 1200, 3600, 6000 ) = 18000
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1200 | 3600 | 6000 |
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 | 1200 | 3600 | 6000 |
| 600 | 1800 | 3000 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1200 | 3600 | 6000 |
| 2 | 600 | 1800 | 3000 |
| 2 | 300 | 900 | 1500 |
| 2 | 150 | 450 | 750 |
| 3 | 75 | 225 | 375 |
| 3 | 25 | 75 | 125 |
| 5 | 25 | 25 | 125 |
| 5 | 5 | 5 | 25 |
| 5 | 1 | 1 | 5 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1200, 3600, 6000 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 5 · 5 = 18000 .
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