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LCM of 836, 415, 858, 586, 586

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


Find the LCM of 836, 415, 858, 586, 586 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 836, 415, 858, 586, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,415,858,586,586

Given numbers are 836,415,858,586,586

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

The LCM of 836,415,858,586,586 is 3964483380.

Find LCM of 836,415,858,586,586 with Prime Factorization


2 836, 415, 858, 586, 586
11 418, 415, 429, 293, 293
293 38, 415, 39, 293, 293
38, 415, 39, 1, 1

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

2 x 11 x 293 x 38 x 415 x 39 x 1 x 1 = 3964483380

Therefore, the lowest common multiple of 836,415,858,586,586 is 3964483380.

LCM Formula to Find Lowest Common Multiple of 836,415,858,586,586

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.

836 x 415 x 858 x 586 x 586 = 102220239469920

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

415 : 1, 5, 83, 415

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

586 : 1, 2, 293, 586

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,415,858,586,586, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

415:5x 83

858:2x 3x 11x 13

586:2x 293

586:2x 293

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 11x 293 = 25784

Therefore, the value for common factors is 25784.

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 = 102220239469920/(1x25784)

LCM = 102220239469920/25784

LCM = 3964483380

Thus, we can understand that the LCM of 836,415,858,586,586 is 3964483380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 415, 858, 586, 586

1. What is the LCM of 836, 415, 858, 586, 586?

Answer: LCM of 836, 415, 858, 586, 586 is 3964483380.

2. How to calculate the LCM of 836, 415, 858, 586, 586?

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 836, 415, 858, 586, 586.

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}.