LCM( 1550, 1550 ) = 1550
Step 1 : Write the given numbers in a horizontal line.
1550 | 1550 |
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 | 1550 | 1550 |
775 | 775 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1550 | 1550 |
5 | 775 | 775 |
5 | 155 | 155 |
31 | 31 | 31 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1550, 1550 ) = 2 · 5 · 5 · 31 = 1550 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.