LCM( 93, 62, 120 ) = 3720
Step 1 : Write the given numbers in a horizontal line.
93 | 62 | 120 |
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 | 93 | 62 | 120 |
93 | 31 | 60 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 93 | 62 | 120 |
2 | 93 | 31 | 60 |
2 | 93 | 31 | 30 |
3 | 93 | 31 | 15 |
5 | 31 | 31 | 5 |
31 | 31 | 31 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 93, 62, 120 ) = 2 · 2 · 2 · 3 · 5 · 31 = 3720 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.