LCM( 1763, 30951228 ) = 30951228
Step 1 : Write the given numbers in a horizontal line.
1763 | 30951228 |
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 | 30951228 |
1763 | 15475614 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1763 | 30951228 |
2 | 1763 | 15475614 |
3 | 1763 | 7737807 |
7 | 1763 | 2579269 |
11 | 1763 | 368467 |
19 | 1763 | 33497 |
41 | 1763 | 1763 |
43 | 43 | 43 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1763, 30951228 ) = 2 · 2 · 3 · 7 · 11 · 19 · 41 · 43 = 30951228 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.