LCM( 15900, 56700, 45238 ) = 67972356900
Step 1 : Write the given numbers in a horizontal line.
15900 | 56700 | 45238 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 15900.
(if any number is not divisible by 15900, write it down unchanged)
15900 | 15900 | 56700 | 45238 |
1 | 56700 | 45238 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
15900 | 15900 | 56700 | 45238 |
45238 | 1 | 56700 | 45238 |
56700 | 1 | 56700 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 15900, 56700, 45238 ) = 15900 · 45238 · 56700 = 67972356900 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.