LCM of 864, 512, 896, 313, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 512, 896, 313, 546 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 864, 512, 896, 313, 546. So, keep reading to learn more.
Given numbers are 864,512,896,313,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,512,896,313,546 is 393748992.
Find LCM of 864,512,896,313,546 with Prime Factorization
| 2 | 864, 512, 896, 313, 546 |
| 2 | 432, 256, 448, 313, 273 |
| 2 | 216, 128, 224, 313, 273 |
| 2 | 108, 64, 112, 313, 273 |
| 2 | 54, 32, 56, 313, 273 |
| 2 | 27, 16, 28, 313, 273 |
| 2 | 27, 8, 14, 313, 273 |
| 3 | 27, 4, 7, 313, 273 |
| 7 | 9, 4, 7, 313, 91 |
| 9, 4, 1, 313, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 9 x 4 x 1 x 313 x 13 = 393748992
Therefore, the lowest common multiple of 864,512,896,313,546 is 393748992.
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.
864 x 512 x 896 x 313 x 546 = 67737426591744
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
313 : 1, 313
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,512,896,313,546, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
512:2x 2x 2x 2x 2x 2x 2x 2x 2
896:2x 2x 2x 2x 2x 2x 2x 7
313:313
546:2x 3x 7x 13
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 2x 2x 2x 2x 2x 2x 3x 7 = 172032
Therefore, the value for common factors is 172032.
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 = 67737426591744/(1x172032)
LCM = 67737426591744/172032
LCM = 393748992
Thus, we can understand that the LCM of 864,512,896,313,546 is 393748992.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 864, 512, 896, 313, 546
1. What is the LCM of 864, 512, 896, 313, 546?
Answer: LCM of 864, 512, 896, 313, 546 is 393748992.
2. How to calculate the LCM of 864, 512, 896, 313, 546?
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 864, 512, 896, 313, 546.
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}.