LCM( 37, 40, 24, 54, 72 ) = 39960
Step 1 : Place the numbers inside division bar:
37 | 40 | 24 | 54 | 72 |
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 | 37 | 40 | 24 | 54 | 72 |
37 | 20 | 12 | 27 | 36 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 37 | 40 | 24 | 54 | 72 |
2 | 37 | 20 | 12 | 27 | 36 |
37 | 10 | 6 | 27 | 18 |
2 | 37 | 40 | 24 | 54 | 72 |
2 | 37 | 20 | 12 | 27 | 36 |
2 | 37 | 10 | 6 | 27 | 18 |
37 | 5 | 3 | 27 | 9 |
2 | 37 | 40 | 24 | 54 | 72 |
2 | 37 | 20 | 12 | 27 | 36 |
2 | 37 | 10 | 6 | 27 | 18 |
3 | 37 | 5 | 3 | 27 | 9 |
37 | 5 | 1 | 9 | 3 |
2 | 37 | 40 | 24 | 54 | 72 |
2 | 37 | 20 | 12 | 27 | 36 |
2 | 37 | 10 | 6 | 27 | 18 |
3 | 37 | 5 | 3 | 27 | 9 |
3 | 37 | 5 | 1 | 9 | 3 |
37 | 5 | 1 | 3 | 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 = 37 · 40 · 24 · 54 · 72 = 39960