LCM( 48, 64, 72, 96, 108 ) = 1728
Step 1 : Place the numbers inside division bar:
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.
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 48 | 64 | 72 | 96 | 108 |
2 | 24 | 32 | 36 | 48 | 54 |
| 12 | 16 | 18 | 24 | 27 |
2 | 48 | 64 | 72 | 96 | 108 |
2 | 24 | 32 | 36 | 48 | 54 |
2 | 12 | 16 | 18 | 24 | 27 |
| 6 | 8 | 9 | 12 | 27 |
2 | 48 | 64 | 72 | 96 | 108 |
2 | 24 | 32 | 36 | 48 | 54 |
2 | 12 | 16 | 18 | 24 | 27 |
2 | 6 | 8 | 9 | 12 | 27 |
| 3 | 4 | 9 | 6 | 27 |
2 | 48 | 64 | 72 | 96 | 108 |
2 | 24 | 32 | 36 | 48 | 54 |
2 | 12 | 16 | 18 | 24 | 27 |
2 | 6 | 8 | 9 | 12 | 27 |
2 | 3 | 4 | 9 | 6 | 27 |
| 3 | 2 | 9 | 3 | 27 |
2 | 48 | 64 | 72 | 96 | 108 |
2 | 24 | 32 | 36 | 48 | 54 |
2 | 12 | 16 | 18 | 24 | 27 |
2 | 6 | 8 | 9 | 12 | 27 |
2 | 3 | 4 | 9 | 6 | 27 |
3 | 3 | 2 | 9 | 3 | 27 |
| 1 | 2 | 3 | 1 | 9 |
2 | 48 | 64 | 72 | 96 | 108 |
2 | 24 | 32 | 36 | 48 | 54 |
2 | 12 | 16 | 18 | 24 | 27 |
2 | 6 | 8 | 9 | 12 | 27 |
2 | 3 | 4 | 9 | 6 | 27 |
3 | 3 | 2 | 9 | 3 | 27 |
3 | 1 | 2 | 3 | 1 | 9 |
| 1 | 2 | 1 | 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 = 48 · 64 · 72 · 96 · 108 = 1728
This page was created using
LCM Calculator