Question
Find Least Common Multiple of 19, 3, 12 and 18 using ladder method..
Answer
LCM( 19, 3, 12, 18 ) = 684
Explanation
Step 1 : Place the numbers inside division bar:
| 19 | 3 | 12 | 18 |
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 | 19 | 3 | 12 | 18 |
| 19 | 1 | 4 | 6 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 3 | 19 | 3 | 12 | 18 |
| 2 | 19 | 1 | 4 | 6 |
| 19 | 1 | 2 | 3 |
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 = 19 · 3 · 12 · 18 = 684
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