LCM of 779, 296, 552, 858, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 296, 552, 858, 363 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, 296, 552, 858, 363. So, keep reading to learn more.
Given numbers are 779,296,552,858,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,296,552,858,363 is 25026895608.
Find LCM of 779,296,552,858,363 with Prime Factorization
| 2 | 779, 296, 552, 858, 363 |
| 2 | 779, 148, 276, 429, 363 |
| 2 | 779, 74, 138, 429, 363 |
| 3 | 779, 37, 69, 429, 363 |
| 11 | 779, 37, 23, 143, 121 |
| 779, 37, 23, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 779 x 37 x 23 x 13 x 11 = 25026895608
Therefore, the lowest common multiple of 779,296,552,858,363 is 25026895608.
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 296 x 552 x 858 x 363 = 39642602643072
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
296 : 1, 2, 4, 8, 37, 74, 148, 296
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,296,552,858,363, is 1.
Now, the common factors can be found like this.
779:19x 41
296:2x 2x 2x 37
552:2x 2x 2x 3x 23
858:2x 3x 11x 13
363:3x 11x 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 2x 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 39642602643072/(1x1584)
LCM = 39642602643072/1584
LCM = 25026895608
Thus, we can understand that the LCM of 779,296,552,858,363 is 25026895608.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 779, 296, 552, 858, 363
1. What is the LCM of 779, 296, 552, 858, 363?
Answer: LCM of 779, 296, 552, 858, 363 is 25026895608.
2. How to calculate the LCM of 779, 296, 552, 858, 363?
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, 296, 552, 858, 363.
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}.