Find Least Common Multiple of 25, 50, 55 and 110 using ladder method..
Answer
LCM( 25, 50, 55, 110 ) = 550
Explanation
Step 1 : Place the numbers inside division bar:
| 25 | 50 | 55 | 110 |
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 | 25 | 50 | 55 | 110 |
| 5 | 10 | 11 | 22 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 5 | 25 | 50 | 55 | 110 |
| 5 | 5 | 10 | 11 | 22 |
| 1 | 2 | 11 | 22 |
| 5 | 25 | 50 | 55 | 110 |
| 5 | 5 | 10 | 11 | 22 |
| 2 | 1 | 2 | 11 | 22 |
| 1 | 1 | 11 | 11 |
| 5 | 25 | 50 | 55 | 110 |
| 5 | 5 | 10 | 11 | 22 |
| 2 | 1 | 2 | 11 | 22 |
| 11 | 1 | 1 | 11 | 11 |
| 1 | 1 | 1 | 1 |
Since there are no primes that divides at least two of given numbers, we conclude that the LCM is a product of starting numbers.
LCM = 25 · 50 · 55 · 110 = 550
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