LCM( 1766, 390992400 ) = 390992400
Step 1 : Write the given numbers in a horizontal line.
1766 | 390992400 |
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 | 390992400 |
883 | 195496200 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 390992400 |
2 | 883 | 195496200 |
2 | 883 | 97748100 |
2 | 883 | 48874050 |
3 | 883 | 24437025 |
3 | 883 | 8145675 |
3 | 883 | 2715225 |
5 | 883 | 905075 |
5 | 883 | 181015 |
41 | 883 | 36203 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 390992400 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 41 · 883 = 390992400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.