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LCM of 586, 960, 350, 415

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


Find the LCM of 586, 960, 350, 415 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 586, 960, 350, 415. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,960,350,415

Given numbers are 586,960,350,415

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

The LCM of 586,960,350,415 is 817118400.

Find LCM of 586,960,350,415 with Prime Factorization


2 586, 960, 350, 415
5 293, 480, 175, 415
293, 96, 35, 83

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

2 x 5 x 293 x 96 x 35 x 83 = 817118400

Therefore, the lowest common multiple of 586,960,350,415 is 817118400.

LCM Formula to Find Lowest Common Multiple of 586,960,350,415

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.

586 x 960 x 350 x 415 = 81711840000

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.

586 : 1, 2, 293, 586

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,960,350,415, is 1.

Now, the common factors can be found like this.

586:2x 293

960:2x 2x 2x 2x 2x 2x 3x 5

350:2x 5x 5x 7

415:5x 83

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 81711840000/(1x100)

LCM = 81711840000/100

LCM = 817118400

Thus, we can understand that the LCM of 586,960,350,415 is 817118400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 960, 350, 415

1. What is the LCM of 586, 960, 350, 415?

Answer: LCM of 586, 960, 350, 415 is 817118400.

2. How to calculate the LCM of 586, 960, 350, 415?

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 586, 960, 350, 415.

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}.