Find the LCM of 779, 119, 985, 357, 731 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, 119, 985, 357, 731. So, keep reading to learn more.
Given numbers are 779,119,985,357,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,119,985,357,731 is 11779052565.
Find LCM of 779,119,985,357,731 with Prime Factorization
7 | 779, 119, 985, 357, 731 |
17 | 779, 17, 985, 51, 731 |
779, 1, 985, 3, 43 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 779 x 1 x 985 x 3 x 43 = 11779052565
Therefore, the lowest common multiple of 779,119,985,357,731 is 11779052565.
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 119 x 985 x 357 x 731 = 23829023338995
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
119 : 1, 7, 17, 119
985 : 1, 5, 197, 985
357 : 1, 3, 7, 17, 21, 51, 119, 357
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,119,985,357,731, is 1.
Now, the common factors can be found like this.
779:19x 41
119:7x 17
985:5x 197
357:3x 7x 17
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17x 17 = 2023
Therefore, the value for common factors is 2023.
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 = 23829023338995/(1x2023)
LCM = 23829023338995/2023
LCM = 11779052565
Thus, we can understand that the LCM of 779,119,985,357,731 is 11779052565.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 119, 985, 357, 731?
Answer: LCM of 779, 119, 985, 357, 731 is 11779052565.
2. How to calculate the LCM of 779, 119, 985, 357, 731?
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, 119, 985, 357, 731.
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}.