LCM( 36, 48, 84, 140 ) = 5040
Step 1 : Place the numbers inside division bar:
36 | 48 | 84 | 140 |
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 | 36 | 48 | 84 | 140 |
18 | 24 | 42 | 70 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 36 | 48 | 84 | 140 |
2 | 18 | 24 | 42 | 70 |
9 | 12 | 21 | 35 |
2 | 36 | 48 | 84 | 140 |
2 | 18 | 24 | 42 | 70 |
3 | 9 | 12 | 21 | 35 |
3 | 4 | 7 | 35 |
2 | 36 | 48 | 84 | 140 |
2 | 18 | 24 | 42 | 70 |
3 | 9 | 12 | 21 | 35 |
7 | 3 | 4 | 7 | 35 |
3 | 4 | 1 | 5 |
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 = 36 · 48 · 84 · 140 = 5040