LCM( 1763, 110540100 ) = 110540100
Step 1 : Write the given numbers in a horizontal line.
1763 | 110540100 |
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 | 110540100 |
1763 | 55270050 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1763 | 110540100 |
2 | 1763 | 55270050 |
3 | 1763 | 27635025 |
5 | 1763 | 9211675 |
5 | 1763 | 1842335 |
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, 110540100 ) = 2 · 2 · 3 · 5 · 5 · 11 · 19 · 41 · 43 = 110540100 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.