LCM( 1766, 123973200 ) = 123973200
Step 1 : Write the given numbers in a horizontal line.
1766 | 123973200 |
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 | 123973200 |
883 | 61986600 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 123973200 |
2 | 883 | 61986600 |
2 | 883 | 30993300 |
2 | 883 | 15496650 |
3 | 883 | 7748325 |
3 | 883 | 2582775 |
3 | 883 | 860925 |
5 | 883 | 286975 |
5 | 883 | 57395 |
13 | 883 | 11479 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 123973200 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 13 · 883 = 123973200 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.