LCM( 15, 27, 35, 42 ) = 1890
Step 1 : Place the numbers inside division bar:
15 | 27 | 35 | 42 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 3. If any number is not divisible by 3 write it down unchanged.
3 | 15 | 27 | 35 | 42 |
5 | 9 | 35 | 14 |
Step 3 : Repeat Step 2 until you can no longer divide.
3 | 15 | 27 | 35 | 42 |
5 | 5 | 9 | 35 | 14 |
1 | 9 | 7 | 14 |
3 | 15 | 27 | 35 | 42 |
5 | 5 | 9 | 35 | 14 |
7 | 1 | 9 | 7 | 14 |
1 | 9 | 1 | 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 = 15 · 27 · 35 · 42 = 1890