LCM( 8, 12, 16, 24, 36 ) = 144
Step 1 : Place the numbers inside division bar:
8 | 12 | 16 | 24 | 36 |
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 | 8 | 12 | 16 | 24 | 36 |
4 | 6 | 8 | 12 | 18 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 8 | 12 | 16 | 24 | 36 |
2 | 4 | 6 | 8 | 12 | 18 |
2 | 3 | 4 | 6 | 9 |
2 | 8 | 12 | 16 | 24 | 36 |
2 | 4 | 6 | 8 | 12 | 18 |
2 | 2 | 3 | 4 | 6 | 9 |
1 | 3 | 2 | 3 | 9 |
2 | 8 | 12 | 16 | 24 | 36 |
2 | 4 | 6 | 8 | 12 | 18 |
2 | 2 | 3 | 4 | 6 | 9 |
3 | 1 | 3 | 2 | 3 | 9 |
1 | 1 | 2 | 1 | 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 = 8 · 12 · 16 · 24 · 36 = 144