LCM( 785, 2769480 ) = 2769480
Step 1 : Write the given numbers in a horizontal line.
785 | 2769480 |
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 | 785 | 2769480 |
785 | 1384740 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 785 | 2769480 |
2 | 785 | 1384740 |
2 | 785 | 692370 |
3 | 785 | 346185 |
3 | 785 | 115395 |
5 | 785 | 38465 |
7 | 157 | 7693 |
7 | 157 | 1099 |
157 | 157 | 157 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 785, 2769480 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 7 · 157 = 2769480 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.