LCM of 627, 864, 896, 813, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 864, 896, 813, 570 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 627, 864, 896, 813, 570. So, keep reading to learn more.
Given numbers are 627,864,896,813,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,864,896,813,570 is 6851053440.
Find LCM of 627,864,896,813,570 with Prime Factorization
| 2 | 627, 864, 896, 813, 570 |
| 2 | 627, 432, 448, 813, 285 |
| 2 | 627, 216, 224, 813, 285 |
| 2 | 627, 108, 112, 813, 285 |
| 2 | 627, 54, 56, 813, 285 |
| 3 | 627, 27, 28, 813, 285 |
| 19 | 209, 9, 28, 271, 95 |
| 11, 9, 28, 271, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 19 x 11 x 9 x 28 x 271 x 5 = 6851053440
Therefore, the lowest common multiple of 627,864,896,813,570 is 6851053440.
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.
627 x 864 x 896 x 813 x 570 = 224933786542080
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
813 : 1, 3, 271, 813
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,864,896,813,570, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
864:2x 2x 2x 2x 2x 3x 3x 3
896:2x 2x 2x 2x 2x 2x 2x 7
813:3x 271
570:2x 3x 5x 19
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 3x 3x 3x 19 = 32832
Therefore, the value for common factors is 32832.
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 = 224933786542080/(1x32832)
LCM = 224933786542080/32832
LCM = 6851053440
Thus, we can understand that the LCM of 627,864,896,813,570 is 6851053440.
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FAQs on LCM of 627, 864, 896, 813, 570
1. What is the LCM of 627, 864, 896, 813, 570?
Answer: LCM of 627, 864, 896, 813, 570 is 6851053440.
2. How to calculate the LCM of 627, 864, 896, 813, 570?
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 627, 864, 896, 813, 570.
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}.