Find Least Common Multiple of 3, 7, 4, 6, 5 and 10 using ladder method..
Answer
LCM( 3, 7, 4, 6, 5, 10 ) = 420
Explanation
Step 1 : Place the numbers inside division bar:
| 3 | 7 | 4 | 6 | 5 | 10 |
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 | 3 | 7 | 4 | 6 | 5 | 10 |
| 1 | 7 | 4 | 2 | 5 | 10 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 3 | 3 | 7 | 4 | 6 | 5 | 10 |
| 2 | 1 | 7 | 4 | 2 | 5 | 10 |
| 1 | 7 | 2 | 1 | 5 | 5 |
| 3 | 3 | 7 | 4 | 6 | 5 | 10 |
| 2 | 1 | 7 | 4 | 2 | 5 | 10 |
| 5 | 1 | 7 | 2 | 1 | 5 | 5 |
| 1 | 7 | 2 | 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 = 3 · 7 · 4 · 6 · 5 · 10 = 420
This page was created using
LCM Calculator