LCM of 779, 858, 619, 165, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 858, 619, 165, 392 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, 858, 619, 165, 392. So, keep reading to learn more.
Given numbers are 779,858,619,165,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,858,619,165,392 is 405453888840.
Find LCM of 779,858,619,165,392 with Prime Factorization
| 2 | 779, 858, 619, 165, 392 |
| 3 | 779, 429, 619, 165, 196 |
| 11 | 779, 143, 619, 55, 196 |
| 779, 13, 619, 5, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 779 x 13 x 619 x 5 x 196 = 405453888840
Therefore, the lowest common multiple of 779,858,619,165,392 is 405453888840.
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 858 x 619 x 165 x 392 = 26759956663440
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
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
619 : 1, 619
165 : 1, 3, 5, 11, 15, 33, 55, 165
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,858,619,165,392, is 1.
Now, the common factors can be found like this.
779:19x 41
858:2x 3x 11x 13
619:619
165:3x 5x 11
392:2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 26759956663440/(1x66)
LCM = 26759956663440/66
LCM = 405453888840
Thus, we can understand that the LCM of 779,858,619,165,392 is 405453888840.
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FAQs on LCM of 779, 858, 619, 165, 392
1. What is the LCM of 779, 858, 619, 165, 392?
Answer: LCM of 779, 858, 619, 165, 392 is 405453888840.
2. How to calculate the LCM of 779, 858, 619, 165, 392?
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, 858, 619, 165, 392.
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}.