LCM( 1752, 3072972960 ) = 3072972960
Step 1 : Write the given numbers in a horizontal line.
1752 | 3072972960 |
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 | 1752 | 3072972960 |
876 | 1536486480 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1752 | 3072972960 |
2 | 876 | 1536486480 |
2 | 438 | 768243240 |
2 | 219 | 384121620 |
2 | 219 | 192060810 |
3 | 219 | 96030405 |
3 | 73 | 32010135 |
5 | 73 | 10670045 |
23 | 73 | 2134009 |
31 | 73 | 92783 |
41 | 73 | 2993 |
73 | 73 | 73 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1752, 3072972960 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 23 · 31 · 41 · 73 = 3072972960 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.