LCM( 10, 64, 70 ) = 2240
Step 1 : Write the given numbers in a horizontal line.
10 | 64 | 70 |
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 | 10 | 64 | 70 |
5 | 32 | 35 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 10 | 64 | 70 |
2 | 5 | 32 | 35 |
2 | 5 | 16 | 35 |
2 | 5 | 8 | 35 |
2 | 5 | 4 | 35 |
2 | 5 | 2 | 35 |
5 | 5 | 1 | 35 |
7 | 1 | 1 | 7 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 10, 64, 70 ) = 2 · 2 · 2 · 2 · 2 · 2 · 5 · 7 = 2240 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.