LCM( 1763, 462258600 ) = 462258600
Step 1 : Write the given numbers in a horizontal line.
1763 | 462258600 |
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 | 462258600 |
1763 | 231129300 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1763 | 462258600 |
2 | 1763 | 231129300 |
2 | 1763 | 115564650 |
3 | 1763 | 57782325 |
5 | 1763 | 19260775 |
5 | 1763 | 3852155 |
19 | 1763 | 770431 |
23 | 1763 | 40549 |
41 | 1763 | 1763 |
43 | 43 | 43 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1763, 462258600 ) = 2 · 2 · 2 · 3 · 5 · 5 · 19 · 23 · 41 · 43 = 462258600 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.