LCM( 1716, 85765680 ) = 85765680
Step 1 : Write the given numbers in a horizontal line.
1716 | 85765680 |
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 | 1716 | 85765680 |
858 | 42882840 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1716 | 85765680 |
2 | 858 | 42882840 |
2 | 429 | 21441420 |
2 | 429 | 10720710 |
3 | 429 | 5360355 |
3 | 143 | 1786785 |
5 | 143 | 595595 |
7 | 143 | 119119 |
7 | 143 | 17017 |
11 | 143 | 2431 |
13 | 13 | 221 |
17 | 1 | 17 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1716, 85765680 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 7 · 11 · 13 · 17 = 85765680 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.