LCM( 1766, 766345104 ) = 766345104
Step 1 : Write the given numbers in a horizontal line.
1766 | 766345104 |
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 | 1766 | 766345104 |
883 | 383172552 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 766345104 |
2 | 883 | 383172552 |
2 | 883 | 191586276 |
2 | 883 | 95793138 |
3 | 883 | 47896569 |
3 | 883 | 15965523 |
3 | 883 | 5321841 |
7 | 883 | 1773947 |
7 | 883 | 253421 |
41 | 883 | 36203 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 766345104 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 7 · 41 · 883 = 766345104 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.