LCM( 1660, 1660 ) = 1660
Step 1 : Write the given numbers in a horizontal line.
1660 | 1660 |
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 | 1660 | 1660 |
830 | 830 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1660 | 1660 |
2 | 830 | 830 |
5 | 415 | 415 |
83 | 83 | 83 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1660, 1660 ) = 2 · 2 · 5 · 83 = 1660 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.