LCM( 1763, 49716600 ) = 49716600
Step 1 : Write the given numbers in a horizontal line.
1763 | 49716600 |
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 | 1763 | 49716600 |
1763 | 24858300 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1763 | 49716600 |
2 | 1763 | 24858300 |
2 | 1763 | 12429150 |
3 | 1763 | 6214575 |
5 | 1763 | 2071525 |
5 | 1763 | 414305 |
41 | 1763 | 82861 |
43 | 43 | 2021 |
47 | 1 | 47 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1763, 49716600 ) = 2 · 2 · 2 · 3 · 5 · 5 · 41 · 43 · 47 = 49716600 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.