LCM( 1766, 242987472 ) = 242987472
Step 1 : Write the given numbers in a horizontal line.
1766 | 242987472 |
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 | 1766 | 242987472 |
883 | 121493736 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 242987472 |
2 | 883 | 121493736 |
2 | 883 | 60746868 |
2 | 883 | 30373434 |
3 | 883 | 15186717 |
3 | 883 | 5062239 |
3 | 883 | 1687413 |
7 | 883 | 562471 |
7 | 883 | 80353 |
13 | 883 | 11479 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 242987472 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 7 · 13 · 883 = 242987472 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.