LCM( 480, 672 ) = 3360
Step 1 : Place the numbers inside division bar:
480 | 672 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
2 | 480 | 672 |
240 | 336 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 480 | 672 |
2 | 240 | 336 |
120 | 168 |
2 | 480 | 672 |
2 | 240 | 336 |
2 | 120 | 168 |
60 | 84 |
2 | 480 | 672 |
2 | 240 | 336 |
2 | 120 | 168 |
2 | 60 | 84 |
30 | 42 |
2 | 480 | 672 |
2 | 240 | 336 |
2 | 120 | 168 |
2 | 60 | 84 |
2 | 30 | 42 |
15 | 21 |
2 | 480 | 672 |
2 | 240 | 336 |
2 | 120 | 168 |
2 | 60 | 84 |
2 | 30 | 42 |
3 | 15 | 21 |
5 | 7 |
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 = 480 · 672 = 3360
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.