LCM( 1766, 355135536 ) = 355135536
Step 1 : Write the given numbers in a horizontal line.
1766 | 355135536 |
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 | 355135536 |
883 | 177567768 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 355135536 |
2 | 883 | 177567768 |
2 | 883 | 88783884 |
2 | 883 | 44391942 |
3 | 883 | 22195971 |
3 | 883 | 7398657 |
3 | 883 | 2466219 |
7 | 883 | 822073 |
7 | 883 | 117439 |
19 | 883 | 16777 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 355135536 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 7 · 19 · 883 = 355135536 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.