LCM( 150711120, 1759 ) = 150711120
Step 1 : Write the given numbers in a horizontal line.
150711120 | 1759 |
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 | 150711120 | 1759 |
75355560 | 1759 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 150711120 | 1759 |
2 | 75355560 | 1759 |
2 | 37677780 | 1759 |
2 | 18838890 | 1759 |
3 | 9419445 | 1759 |
3 | 3139815 | 1759 |
5 | 1046605 | 1759 |
7 | 209321 | 1759 |
17 | 29903 | 1759 |
1759 | 1759 | 1759 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 150711120, 1759 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 17 · 1759 = 150711120 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.