Question
Find Least Common Multiple of 27, 9, 34 and 6 using ladder method..
Answer
LCM( 27, 9, 34, 6 ) = 918
Explanation
Step 1 : Place the numbers inside division bar:
| 27 | 9 | 34 | 6 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 3. If any number is not divisible by 3 write it down unchanged.
| 3 | 27 | 9 | 34 | 6 |
| 9 | 3 | 34 | 2 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 3 | 27 | 9 | 34 | 6 |
| 3 | 9 | 3 | 34 | 2 |
| 3 | 1 | 34 | 2 |
| 3 | 27 | 9 | 34 | 6 |
| 3 | 9 | 3 | 34 | 2 |
| 2 | 3 | 1 | 34 | 2 |
| 3 | 1 | 17 | 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 = 27 · 9 · 34 · 6 = 918
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