LCM of 527, 891, 748, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 891, 748, 806 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 527, 891, 748, 806. So, keep reading to learn more.
Given numbers are 527,891,748,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,891,748,806 is 24416964.
Find LCM of 527,891,748,806 with Prime Factorization
| 2 | 527, 891, 748, 806 |
| 11 | 527, 891, 374, 403 |
| 17 | 527, 81, 34, 403 |
| 31 | 31, 81, 2, 403 |
| 1, 81, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 31 x 1 x 81 x 2 x 13 = 24416964
Therefore, the lowest common multiple of 527,891,748,806 is 24416964.
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.
527 x 891 x 748 x 806 = 283090280616
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.
527 : 1, 17, 31, 527
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,891,748,806, is 1.
Now, the common factors can be found like this.
527:17x 31
891:3x 3x 3x 3x 11
748:2x 2x 11x 17
806:2x 13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17x 31 = 11594
Therefore, the value for common factors is 11594.
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 = 283090280616/(1x11594)
LCM = 283090280616/11594
LCM = 24416964
Thus, we can understand that the LCM of 527,891,748,806 is 24416964.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 527, 891, 748, 806
1. What is the LCM of 527, 891, 748, 806?
Answer: LCM of 527, 891, 748, 806 is 24416964.
2. How to calculate the LCM of 527, 891, 748, 806?
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 527, 891, 748, 806.
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}.