LCM( 1759, 9146639931 ) = 9146639931
Step 1 : Write the given numbers in a horizontal line.
1759 | 9146639931 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 3.
(if any number is not divisible by 3, write it down unchanged)
3 | 1759 | 9146639931 |
1759 | 3048879977 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
3 | 1759 | 9146639931 |
11 | 1759 | 3048879977 |
13 | 1759 | 277170907 |
17 | 1759 | 21320839 |
23 | 1759 | 1254167 |
31 | 1759 | 54529 |
1759 | 1759 | 1759 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1759, 9146639931 ) = 3 · 11 · 13 · 17 · 23 · 31 · 1759 = 9146639931 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.