LCM of 779, 870, 108, 338, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 870, 108, 338, 902 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 779, 870, 108, 338, 902. So, keep reading to learn more.
Given numbers are 779,870,108,338,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,870,108,338,902 is 22678201260.
Find LCM of 779,870,108,338,902 with Prime Factorization
| 2 | 779, 870, 108, 338, 902 |
| 3 | 779, 435, 54, 169, 451 |
| 41 | 779, 145, 18, 169, 451 |
| 19, 145, 18, 169, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 19 x 145 x 18 x 169 x 11 = 22678201260
Therefore, the lowest common multiple of 779,870,108,338,902 is 22678201260.
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.
779 x 870 x 108 x 338 x 902 = 22315350039840
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.
779 : 1, 19, 41, 779
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
338 : 1, 2, 13, 26, 169, 338
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,870,108,338,902, is 1.
Now, the common factors can be found like this.
779:19x 41
870:2x 3x 5x 29
108:2x 2x 3x 3x 3
338:2x 13x 13
902:2x 11x 41
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 41 = 984
Therefore, the value for common factors is 984.
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 = 22315350039840/(1x984)
LCM = 22315350039840/984
LCM = 22678201260
Thus, we can understand that the LCM of 779,870,108,338,902 is 22678201260.
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FAQs on LCM of 779, 870, 108, 338, 902
1. What is the LCM of 779, 870, 108, 338, 902?
Answer: LCM of 779, 870, 108, 338, 902 is 22678201260.
2. How to calculate the LCM of 779, 870, 108, 338, 902?
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 779, 870, 108, 338, 902.
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}.