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LCM of 586, 552, 362, 138, 115

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


Find the LCM of 586, 552, 362, 138, 115 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, 552, 362, 138, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,552,362,138,115

Given numbers are 586,552,362,138,115

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

The LCM of 586,552,362,138,115 is 146371080.

Find LCM of 586,552,362,138,115 with Prime Factorization


2 586, 552, 362, 138, 115
3 293, 276, 181, 69, 115
23 293, 92, 181, 23, 115
293, 4, 181, 1, 5

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

2 x 3 x 23 x 293 x 4 x 181 x 1 x 5 = 146371080

Therefore, the lowest common multiple of 586,552,362,138,115 is 146371080.

LCM Formula to Find Lowest Common Multiple of 586,552,362,138,115

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 552 x 362 x 138 x 115 = 1858327231680

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

362 : 1, 2, 181, 362

138 : 1, 2, 3, 6, 23, 46, 69, 138

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,552,362,138,115, is 1.

Now, the common factors can be found like this.

586:2x 293

552:2x 2x 2x 3x 23

362:2x 181

138:2x 3x 23

115:5x 23

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 3x 23x 23 = 12696

Therefore, the value for common factors is 12696.

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 = 1858327231680/(1x12696)

LCM = 1858327231680/12696

LCM = 146371080

Thus, we can understand that the LCM of 586,552,362,138,115 is 146371080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 552, 362, 138, 115

1. What is the LCM of 586, 552, 362, 138, 115?

Answer: LCM of 586, 552, 362, 138, 115 is 146371080.

2. How to calculate the LCM of 586, 552, 362, 138, 115?

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, 552, 362, 138, 115.

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}.