LCM( 16, 32, 48, 64 ) = 192
Step 1 : Place the numbers inside division bar:
16 | 32 | 48 | 64 |
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 | 16 | 32 | 48 | 64 |
8 | 16 | 24 | 32 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 16 | 32 | 48 | 64 |
2 | 8 | 16 | 24 | 32 |
4 | 8 | 12 | 16 |
2 | 16 | 32 | 48 | 64 |
2 | 8 | 16 | 24 | 32 |
2 | 4 | 8 | 12 | 16 |
2 | 4 | 6 | 8 |
2 | 16 | 32 | 48 | 64 |
2 | 8 | 16 | 24 | 32 |
2 | 4 | 8 | 12 | 16 |
2 | 2 | 4 | 6 | 8 |
1 | 2 | 3 | 4 |
2 | 16 | 32 | 48 | 64 |
2 | 8 | 16 | 24 | 32 |
2 | 4 | 8 | 12 | 16 |
2 | 2 | 4 | 6 | 8 |
2 | 1 | 2 | 3 | 4 |
1 | 1 | 3 | 2 |
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 = 16 · 32 · 48 · 64 = 192