Find Least Common Multiple of 15, 7 and 5 using ladder method..
Answer
LCM( 15, 7, 5 ) = 105
Explanation
Step 1 : Place the numbers inside division bar:
| 15 | 7 | 5 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 5. If any number is not divisible by 5 write it down unchanged.
| 5 | 15 | 7 | 5 |
| 3 | 7 | 1 |
Step 4 : LCM is a product of numbers into L shape.
| 5 | 15 | 7 | 5 |
| 3 | 7 | 1 |
LCM = 5 · 3 · 7 · 1 = 105
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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