LCM( 1766, 205604784 ) = 205604784
Step 1 : Write the given numbers in a horizontal line.
1766 | 205604784 |
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 | 205604784 |
883 | 102802392 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 205604784 |
2 | 883 | 102802392 |
2 | 883 | 51401196 |
2 | 883 | 25700598 |
3 | 883 | 12850299 |
3 | 883 | 4283433 |
3 | 883 | 1427811 |
7 | 883 | 475937 |
7 | 883 | 67991 |
11 | 883 | 9713 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 205604784 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 7 · 11 · 883 = 205604784 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.