LCM( 1766, 276555600 ) = 276555600
Step 1 : Write the given numbers in a horizontal line.
1766 | 276555600 |
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 | 276555600 |
883 | 138277800 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 276555600 |
2 | 883 | 138277800 |
2 | 883 | 69138900 |
2 | 883 | 34569450 |
3 | 883 | 17284725 |
3 | 883 | 5761575 |
3 | 883 | 1920525 |
5 | 883 | 640175 |
5 | 883 | 128035 |
29 | 883 | 25607 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 276555600 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 29 · 883 = 276555600 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.