LCM( 1706, 121808400 ) = 121808400
Step 1 : Write the given numbers in a horizontal line.
1706 | 121808400 |
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 | 1706 | 121808400 |
853 | 60904200 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1706 | 121808400 |
2 | 853 | 60904200 |
2 | 853 | 30452100 |
2 | 853 | 15226050 |
3 | 853 | 7613025 |
5 | 853 | 2537675 |
5 | 853 | 507535 |
7 | 853 | 101507 |
17 | 853 | 14501 |
853 | 853 | 853 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1706, 121808400 ) = 2 · 2 · 2 · 2 · 3 · 5 · 5 · 7 · 17 · 853 = 121808400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.