LCM( 1736, 79057440 ) = 79057440
Step 1 : Write the given numbers in a horizontal line.
1736 | 79057440 |
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 | 1736 | 79057440 |
868 | 39528720 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1736 | 79057440 |
2 | 868 | 39528720 |
2 | 434 | 19764360 |
2 | 217 | 9882180 |
2 | 217 | 4941090 |
3 | 217 | 2470545 |
3 | 217 | 823515 |
5 | 217 | 274505 |
7 | 217 | 54901 |
11 | 31 | 7843 |
23 | 31 | 713 |
31 | 31 | 31 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1736, 79057440 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 23 · 31 = 79057440 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.