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LCM of 586, 132, 484, 266, 568

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


Find the LCM of 586, 132, 484, 266, 568 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, 132, 484, 266, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,132,484,266,568

Given numbers are 586,132,484,266,568

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

The LCM of 586,132,484,266,568 is 8034784296.

Find LCM of 586,132,484,266,568 with Prime Factorization


2 586, 132, 484, 266, 568
2 293, 66, 242, 133, 284
11 293, 33, 121, 133, 142
293, 3, 11, 133, 142

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

2 x 2 x 11 x 293 x 3 x 11 x 133 x 142 = 8034784296

Therefore, the lowest common multiple of 586,132,484,266,568 is 8034784296.

LCM Formula to Find Lowest Common Multiple of 586,132,484,266,568

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 132 x 484 x 266 x 568 = 5656488144384

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

266 : 1, 2, 7, 14, 19, 38, 133, 266

568 : 1, 2, 4, 8, 71, 142, 284, 568

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,132,484,266,568, is 2.

Now, the common factors can be found like this.

586:2x 293

132:2x 2x 3x 11

484:2x 2x 11x 11

266:2x 7x 19

568:2x 2x 2x 71

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 2x 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 5656488144384/(2x352)

LCM = 5656488144384/704

LCM = 8034784296

Thus, we can understand that the LCM of 586,132,484,266,568 is 8034784296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 132, 484, 266, 568

1. What is the LCM of 586, 132, 484, 266, 568?

Answer: LCM of 586, 132, 484, 266, 568 is 8034784296.

2. How to calculate the LCM of 586, 132, 484, 266, 568?

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, 132, 484, 266, 568.

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}.