LCM( 1766, 448210800 ) = 448210800
Step 1 : Write the given numbers in a horizontal line.
1766 | 448210800 |
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 | 448210800 |
883 | 224105400 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 448210800 |
2 | 883 | 224105400 |
2 | 883 | 112052700 |
2 | 883 | 56026350 |
3 | 883 | 28013175 |
3 | 883 | 9337725 |
3 | 883 | 3112575 |
5 | 883 | 1037525 |
5 | 883 | 207505 |
47 | 883 | 41501 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 448210800 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 47 · 883 = 448210800 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.