LCM( 710, 740 ) = 52540
Step 1 : Write the given numbers in a horizontal line.
710 | 740 |
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 | 710 | 740 |
355 | 370 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 710 | 740 |
2 | 355 | 370 |
5 | 355 | 185 |
37 | 71 | 37 |
71 | 71 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 710, 740 ) = 2 · 2 · 5 · 37 · 71 = 52540 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.