LCM( 1766, 81059400 ) = 81059400
Step 1 : Write the given numbers in a horizontal line.
1766 | 81059400 |
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 | 81059400 |
883 | 40529700 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 81059400 |
2 | 883 | 40529700 |
2 | 883 | 20264850 |
3 | 883 | 10132425 |
3 | 883 | 3377475 |
3 | 883 | 1125825 |
5 | 883 | 375275 |
5 | 883 | 75055 |
17 | 883 | 15011 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 81059400 ) = 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 17 · 883 = 81059400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.