Find Least Common Multiple of 45 and 80 using ladder method..
Answer
LCM( 45, 80 ) = 720
Explanation
Step 1 : Place the numbers inside division bar:
| 45 | 80 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 5. If any number is not divisible by 5 write it down unchanged.
| 5 | 45 | 80 |
| 9 | 16 |
Step 4 : LCM is a product of numbers into L shape.
| 5 | 45 | 80 |
| 9 | 16 |
LCM = 5 · 9 · 16 = 720
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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