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LCM of 935, 560, 579, 779, 986

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 935, 560, 579, 779, 986 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 935, 560, 579, 779, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,560,579,779,986

Given numbers are 935,560,579,779,986

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 935,560,579,779,986 is 1369757392080.

Find LCM of 935,560,579,779,986 with Prime Factorization


2 935, 560, 579, 779, 986
5 935, 280, 579, 779, 493
17 187, 56, 579, 779, 493
11, 56, 579, 779, 29

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 17 x 11 x 56 x 579 x 779 x 29 = 1369757392080

Therefore, the lowest common multiple of 935,560,579,779,986 is 1369757392080.

LCM Formula to Find Lowest Common Multiple of 935,560,579,779,986

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.

935 x 560 x 579 x 779 x 986 = 232858756653600

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

579 : 1, 3, 193, 579

779 : 1, 19, 41, 779

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,560,579,779,986, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

560:2x 2x 2x 2x 5x 7

579:3x 193

779:19x 41

986:2x 17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 232858756653600/(1x170)

LCM = 232858756653600/170

LCM = 1369757392080

Thus, we can understand that the LCM of 935,560,579,779,986 is 1369757392080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 560, 579, 779, 986

1. What is the LCM of 935, 560, 579, 779, 986?

Answer: LCM of 935, 560, 579, 779, 986 is 1369757392080.

2. How to calculate the LCM of 935, 560, 579, 779, 986?

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 935, 560, 579, 779, 986.

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}.