Find Least Common Multiple of 7, 49 and 35 using ladder method..
Answer
LCM( 7, 49, 35 ) = 245
Explanation
Step 1 : Place the numbers inside division bar:
| 7 | 49 | 35 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 7. If any number is not divisible by 7 write it down unchanged.
| 7 | 7 | 49 | 35 |
| 1 | 7 | 5 |
Step 4 : LCM is a product of numbers into L shape.
| 7 | 7 | 49 | 35 |
| 1 | 7 | 5 |
LCM = 7 · 1 · 7 · 5 = 245
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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