LCM( 24, 36, 15, 30 ) = 360
Step 1 : Place the numbers inside division bar:
24 | 36 | 15 | 30 |
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 | 24 | 36 | 15 | 30 |
12 | 18 | 15 | 15 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 24 | 36 | 15 | 30 |
2 | 12 | 18 | 15 | 15 |
6 | 9 | 15 | 15 |
2 | 24 | 36 | 15 | 30 |
2 | 12 | 18 | 15 | 15 |
3 | 6 | 9 | 15 | 15 |
2 | 3 | 5 | 5 |
2 | 24 | 36 | 15 | 30 |
2 | 12 | 18 | 15 | 15 |
3 | 6 | 9 | 15 | 15 |
5 | 2 | 3 | 5 | 5 |
2 | 3 | 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 = 24 · 36 · 15 · 30 = 360