LCM of 779, 494, 858, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 494, 858, 704 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, 494, 858, 704. So, keep reading to learn more.
Given numbers are 779,494,858,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,494,858,704 is 21388224.
Find LCM of 779,494,858,704 with Prime Factorization
| 2 | 779, 494, 858, 704 |
| 11 | 779, 247, 429, 352 |
| 13 | 779, 247, 39, 32 |
| 19 | 779, 19, 3, 32 |
| 41, 1, 3, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 19 x 41 x 1 x 3 x 32 = 21388224
Therefore, the lowest common multiple of 779,494,858,704 is 21388224.
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 494 x 858 x 704 = 232447218432
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,494,858,704, is 1.
Now, the common factors can be found like this.
779:19x 41
494:2x 13x 19
858:2x 3x 11x 13
704:2x 2x 2x 2x 2x 2x 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 11x 13x 19 = 10868
Therefore, the value for common factors is 10868.
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 = 232447218432/(1x10868)
LCM = 232447218432/10868
LCM = 21388224
Thus, we can understand that the LCM of 779,494,858,704 is 21388224.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 779, 494, 858, 704
1. What is the LCM of 779, 494, 858, 704?
Answer: LCM of 779, 494, 858, 704 is 21388224.
2. How to calculate the LCM of 779, 494, 858, 704?
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, 494, 858, 704.
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}.