LCM( 24, 36, 120, 18 ) = 360
Step 1 : Place the numbers inside division bar:
24 | 36 | 120 | 18 |
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 | 120 | 18 |
12 | 18 | 60 | 9 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 24 | 36 | 120 | 18 |
2 | 12 | 18 | 60 | 9 |
6 | 9 | 30 | 9 |
2 | 24 | 36 | 120 | 18 |
2 | 12 | 18 | 60 | 9 |
2 | 6 | 9 | 30 | 9 |
3 | 9 | 15 | 9 |
2 | 24 | 36 | 120 | 18 |
2 | 12 | 18 | 60 | 9 |
2 | 6 | 9 | 30 | 9 |
3 | 3 | 9 | 15 | 9 |
1 | 3 | 5 | 3 |
2 | 24 | 36 | 120 | 18 |
2 | 12 | 18 | 60 | 9 |
2 | 6 | 9 | 30 | 9 |
3 | 3 | 9 | 15 | 9 |
3 | 1 | 3 | 5 | 3 |
1 | 1 | 5 | 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 · 120 · 18 = 360