LCM( 110510400, 1760 ) = 110510400
Step 1 : Write the given numbers in a horizontal line.
110510400 | 1760 |
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 | 110510400 | 1760 |
55255200 | 880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 110510400 | 1760 |
2 | 55255200 | 880 |
2 | 27627600 | 440 |
2 | 13813800 | 220 |
2 | 6906900 | 110 |
2 | 3453450 | 55 |
3 | 1726725 | 55 |
5 | 575575 | 55 |
5 | 115115 | 11 |
7 | 23023 | 11 |
11 | 3289 | 11 |
13 | 299 | 1 |
23 | 23 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 110510400, 1760 ) = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 5 · 7 · 11 · 13 · 23 = 110510400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.