LCM( 1714, 140376600 ) = 140376600
Step 1 : Write the given numbers in a horizontal line.
1714 | 140376600 |
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 | 1714 | 140376600 |
857 | 70188300 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1714 | 140376600 |
2 | 857 | 70188300 |
2 | 857 | 35094150 |
3 | 857 | 17547075 |
3 | 857 | 5849025 |
5 | 857 | 1949675 |
5 | 857 | 389935 |
7 | 857 | 77987 |
13 | 857 | 11141 |
857 | 857 | 857 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1714, 140376600 ) = 2 · 2 · 2 · 3 · 3 · 5 · 5 · 7 · 13 · 857 = 140376600 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.