LCM( 1640, 1640 ) = 1640
Step 1 : Write the given numbers in a horizontal line.
1640 | 1640 |
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 | 1640 | 1640 |
820 | 820 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1640 | 1640 |
2 | 820 | 820 |
2 | 410 | 410 |
5 | 205 | 205 |
41 | 41 | 41 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1640, 1640 ) = 2 · 2 · 2 · 5 · 41 = 1640 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.