LCM( 1766, 295628400 ) = 295628400
Step 1 : Write the given numbers in a horizontal line.
1766 | 295628400 |
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 | 295628400 |
883 | 147814200 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 295628400 |
2 | 883 | 147814200 |
2 | 883 | 73907100 |
2 | 883 | 36953550 |
3 | 883 | 18476775 |
3 | 883 | 6158925 |
3 | 883 | 2052975 |
5 | 883 | 684325 |
5 | 883 | 136865 |
31 | 883 | 27373 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 295628400 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 31 · 883 = 295628400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.