Find Least Common Multiple of 15, 25, 35 and 45 using ladder method..
Answer
LCM( 15, 25, 35, 45 ) = 1575
Explanation
Step 1 : Place the numbers inside division bar:
| 15 | 25 | 35 | 45 |
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 | 15 | 25 | 35 | 45 |
| 5 | 25 | 35 | 15 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 3 | 15 | 25 | 35 | 45 |
| 5 | 5 | 25 | 35 | 15 |
| 1 | 5 | 7 | 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 = 15 · 25 · 35 · 45 = 1575
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