LCM( 1766, 219337200 ) = 219337200
Step 1 : Write the given numbers in a horizontal line.
1766 | 219337200 |
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 | 219337200 |
883 | 109668600 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 219337200 |
2 | 883 | 109668600 |
2 | 883 | 54834300 |
2 | 883 | 27417150 |
3 | 883 | 13708575 |
3 | 883 | 4569525 |
3 | 883 | 1523175 |
5 | 883 | 507725 |
5 | 883 | 101545 |
23 | 883 | 20309 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 219337200 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 23 · 883 = 219337200 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.