LCM of 224, 381, 512, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 381, 512, 324 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 224, 381, 512, 324. So, keep reading to learn more.
Given numbers are 224,381,512,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,381,512,324 is 36868608.
Find LCM of 224,381,512,324 with Prime Factorization
| 2 | 224, 381, 512, 324 |
| 2 | 112, 381, 256, 162 |
| 2 | 56, 381, 128, 81 |
| 2 | 28, 381, 64, 81 |
| 2 | 14, 381, 32, 81 |
| 3 | 7, 381, 16, 81 |
| 7, 127, 16, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 127 x 16 x 27 = 36868608
Therefore, the lowest common multiple of 224,381,512,324 is 36868608.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
224 x 381 x 512 x 324 = 14157545472
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
381 : 1, 3, 127, 381
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,381,512,324, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
381:3x 127
512:2x 2x 2x 2x 2x 2x 2x 2x 2
324:2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 14157545472/(1x384)
LCM = 14157545472/384
LCM = 36868608
Thus, we can understand that the LCM of 224,381,512,324 is 36868608.
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FAQs on LCM of 224, 381, 512, 324
1. What is the LCM of 224, 381, 512, 324?
Answer: LCM of 224, 381, 512, 324 is 36868608.
2. How to calculate the LCM of 224, 381, 512, 324?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 224, 381, 512, 324.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.