LCM of 742, 794, 726, 726, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 794, 726, 726, 891 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 742, 794, 726, 726, 891. So, keep reading to learn more.
Given numbers are 742,794,726,726,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,794,726,726,891 is 2887119774.
Find LCM of 742,794,726,726,891 with Prime Factorization
| 2 | 742, 794, 726, 726, 891 |
| 3 | 371, 397, 363, 363, 891 |
| 11 | 371, 397, 121, 121, 297 |
| 11 | 371, 397, 11, 11, 27 |
| 371, 397, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 371 x 397 x 1 x 1 x 27 = 2887119774
Therefore, the lowest common multiple of 742,794,726,726,891 is 2887119774.
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.
742 x 794 x 726 x 726 x 891 = 276678462181968
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
794 : 1, 2, 397, 794
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,794,726,726,891, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
794:2x 397
726:2x 3x 11x 11
726:2x 3x 11x 11
891:3x 3x 3x 3x 11
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 3x 3x 11x 11x 11 = 95832
Therefore, the value for common factors is 95832.
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 = 276678462181968/(1x95832)
LCM = 276678462181968/95832
LCM = 2887119774
Thus, we can understand that the LCM of 742,794,726,726,891 is 2887119774.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 742, 794, 726, 726, 891
1. What is the LCM of 742, 794, 726, 726, 891?
Answer: LCM of 742, 794, 726, 726, 891 is 2887119774.
2. How to calculate the LCM of 742, 794, 726, 726, 891?
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 742, 794, 726, 726, 891.
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}.