LCM( 9, 15, 25, 40, 75 ) = 1800
Step 1 : Place the numbers inside division bar:
9 | 15 | 25 | 40 | 75 |
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 | 9 | 15 | 25 | 40 | 75 |
3 | 5 | 25 | 40 | 25 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 9 | 15 | 25 | 40 | 75 |
5 | 3 | 5 | 25 | 40 | 25 |
3 | 1 | 5 | 8 | 5 |
3 | 9 | 15 | 25 | 40 | 75 |
5 | 3 | 5 | 25 | 40 | 25 |
5 | 3 | 1 | 5 | 8 | 5 |
3 | 1 | 1 | 8 | 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 = 9 · 15 · 25 · 40 · 75 = 1800