LCM( 650, 660 ) = 42900
Step 1 : Write the given numbers in a horizontal line.
650 | 660 |
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 | 650 | 660 |
325 | 330 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 650 | 660 |
2 | 325 | 330 |
3 | 325 | 165 |
5 | 325 | 55 |
5 | 65 | 11 |
11 | 13 | 11 |
13 | 13 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 650, 660 ) = 2 · 2 · 3 · 5 · 5 · 11 · 13 = 42900 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.