LCM( 224, 224 ) = 224
Step 1 : Place the numbers inside division bar:
224 | 224 |
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 | 224 | 224 |
112 | 112 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 224 | 224 |
2 | 112 | 112 |
56 | 56 |
2 | 224 | 224 |
2 | 112 | 112 |
2 | 56 | 56 |
28 | 28 |
2 | 224 | 224 |
2 | 112 | 112 |
2 | 56 | 56 |
2 | 28 | 28 |
14 | 14 |
2 | 224 | 224 |
2 | 112 | 112 |
2 | 56 | 56 |
2 | 28 | 28 |
2 | 14 | 14 |
7 | 7 |
2 | 224 | 224 |
2 | 112 | 112 |
2 | 56 | 56 |
2 | 28 | 28 |
2 | 14 | 14 |
7 | 7 | 7 |
1 | 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 = 224 · 224 = 224
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.