LCM of 721, 779, 845, 618, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 779, 845, 618, 910 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 721, 779, 845, 618, 910. So, keep reading to learn more.
Given numbers are 721,779,845,618,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,779,845,618,910 is 2847611130.
Find LCM of 721,779,845,618,910 with Prime Factorization
| 2 | 721, 779, 845, 618, 910 |
| 5 | 721, 779, 845, 309, 455 |
| 7 | 721, 779, 169, 309, 91 |
| 13 | 103, 779, 169, 309, 13 |
| 103 | 103, 779, 1, 309, 13 |
| 1, 779, 1, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 103 x 1 x 779 x 1 x 3 x 13 = 2847611130
Therefore, the lowest common multiple of 721,779,845,618,910 is 2847611130.
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.
721 x 779 x 845 x 618 x 910 = 266906591214900
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.
721 : 1, 7, 103, 721
779 : 1, 19, 41, 779
845 : 1, 5, 13, 65, 169, 845
618 : 1, 2, 3, 6, 103, 206, 309, 618
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,779,845,618,910, is 1.
Now, the common factors can be found like this.
721:7x 103
779:19x 41
845:5x 13x 13
618:2x 3x 103
910:2x 5x 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 5x 7x 13x 103 = 93730
Therefore, the value for common factors is 93730.
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 = 266906591214900/(1x93730)
LCM = 266906591214900/93730
LCM = 2847611130
Thus, we can understand that the LCM of 721,779,845,618,910 is 2847611130.
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FAQs on LCM of 721, 779, 845, 618, 910
1. What is the LCM of 721, 779, 845, 618, 910?
Answer: LCM of 721, 779, 845, 618, 910 is 2847611130.
2. How to calculate the LCM of 721, 779, 845, 618, 910?
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 721, 779, 845, 618, 910.
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}.