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LCM of 779, 574, 587, 760

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


Find the LCM of 779, 574, 587, 760 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, 574, 587, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,574,587,760

Given numbers are 779,574,587,760

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

The LCM of 779,574,587,760 is 128036440.

Find LCM of 779,574,587,760 with Prime Factorization


2 779, 574, 587, 760
19 779, 287, 587, 380
41 41, 287, 587, 20
1, 7, 587, 20

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

2 x 19 x 41 x 1 x 7 x 587 x 20 = 128036440

Therefore, the lowest common multiple of 779,574,587,760 is 128036440.

LCM Formula to Find Lowest Common Multiple of 779,574,587,760

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 574 x 587 x 760 = 199480773520

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

587 : 1, 587

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,574,587,760, is 1.

Now, the common factors can be found like this.

779:19x 41

574:2x 7x 41

587:587

760:2x 2x 2x 5x 19

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

2x 19x 41 = 1558

Therefore, the value for common factors is 1558.

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 = 199480773520/(1x1558)

LCM = 199480773520/1558

LCM = 128036440

Thus, we can understand that the LCM of 779,574,587,760 is 128036440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 574, 587, 760

1. What is the LCM of 779, 574, 587, 760?

Answer: LCM of 779, 574, 587, 760 is 128036440.

2. How to calculate the LCM of 779, 574, 587, 760?

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, 574, 587, 760.

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}.