Question
Find Least Common Multiple of 5 and 10 using ladder method..
Answer
LCM( 5, 10 ) = 10
Explanation
Step 1 : Place the numbers inside division bar:
| 5 | 10 |
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 | 5 | 10 |
| 1 | 2 |
Step 4 : LCM is a product of numbers into L shape.
| 5 | 5 | 10 |
| 1 | 2 |
LCM = 5 · 1 · 2 = 10
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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