LCM of 775, 879, 815, 939, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 879, 815, 939, 775 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 775, 879, 815, 939, 775. So, keep reading to learn more.
Given numbers are 775,879,815,939,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,879,815,939,775 is 34755418275.
Find LCM of 775,879,815,939,775 with Prime Factorization
| 3 | 775, 879, 815, 939, 775 |
| 5 | 775, 293, 815, 313, 775 |
| 5 | 155, 293, 163, 313, 155 |
| 31 | 31, 293, 163, 313, 31 |
| 1, 293, 163, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 31 x 1 x 293 x 163 x 313 x 1 = 34755418275
Therefore, the lowest common multiple of 775,879,815,939,775 is 34755418275.
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.
775 x 879 x 815 x 939 x 775 = 404031737446875
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.
775 : 1, 5, 25, 31, 155, 775
879 : 1, 3, 293, 879
815 : 1, 5, 163, 815
939 : 1, 3, 313, 939
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,879,815,939,775, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
879:3x 293
815:5x 163
939:3x 313
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 31 = 11625
Therefore, the value for common factors is 11625.
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 = 404031737446875/(1x11625)
LCM = 404031737446875/11625
LCM = 34755418275
Thus, we can understand that the LCM of 775,879,815,939,775 is 34755418275.
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FAQs on LCM of 775, 879, 815, 939, 775
1. What is the LCM of 775, 879, 815, 939, 775?
Answer: LCM of 775, 879, 815, 939, 775 is 34755418275.
2. How to calculate the LCM of 775, 879, 815, 939, 775?
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 775, 879, 815, 939, 775.
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}.