Question
Find Least Common Multiple of 143, 60, 120 and 225 using ladder method..
Answer
LCM( 143, 60, 120, 225 ) = 257400
Explanation
Step 1 : Place the numbers inside division bar:
| 143 | 60 | 120 | 225 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
| 2 | 143 | 60 | 120 | 225 |
| 143 | 30 | 60 | 225 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 2 | 143 | 60 | 120 | 225 |
| 2 | 143 | 30 | 60 | 225 |
| 143 | 15 | 30 | 225 |
| 2 | 143 | 60 | 120 | 225 |
| 2 | 143 | 30 | 60 | 225 |
| 3 | 143 | 15 | 30 | 225 |
| 143 | 5 | 10 | 75 |
| 2 | 143 | 60 | 120 | 225 |
| 2 | 143 | 30 | 60 | 225 |
| 3 | 143 | 15 | 30 | 225 |
| 5 | 143 | 5 | 10 | 75 |
| 143 | 1 | 2 | 15 |
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 = 143 · 60 · 120 · 225 = 257400
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