LCM( 1763, 233773800 ) = 233773800
Step 1 : Write the given numbers in a horizontal line.
1763 | 233773800 |
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 | 233773800 |
1763 | 116886900 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1763 | 233773800 |
2 | 1763 | 116886900 |
2 | 1763 | 58443450 |
3 | 1763 | 29221725 |
5 | 1763 | 9740575 |
5 | 1763 | 1948115 |
13 | 1763 | 389623 |
17 | 1763 | 29971 |
41 | 1763 | 1763 |
43 | 43 | 43 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1763, 233773800 ) = 2 · 2 · 2 · 3 · 5 · 5 · 13 · 17 · 41 · 43 = 233773800 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.