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LCM of 586, 897, 629, 820, 414

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


Find the LCM of 586, 897, 629, 820, 414 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, 897, 629, 820, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,897,629,820,414

Given numbers are 586,897,629,820,414

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

The LCM of 586,897,629,820,414 is 406673446140.

Find LCM of 586,897,629,820,414 with Prime Factorization


2 586, 897, 629, 820, 414
3 293, 897, 629, 410, 207
23 293, 299, 629, 410, 69
293, 13, 629, 410, 3

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

2 x 3 x 23 x 293 x 13 x 629 x 410 x 3 = 406673446140

Therefore, the lowest common multiple of 586,897,629,820,414 is 406673446140.

LCM Formula to Find Lowest Common Multiple of 586,897,629,820,414

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 897 x 629 x 820 x 414 = 112241871134640

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

897 : 1, 3, 13, 23, 39, 69, 299, 897

629 : 1, 17, 37, 629

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,897,629,820,414, is 1.

Now, the common factors can be found like this.

586:2x 293

897:3x 13x 23

629:17x 37

820:2x 2x 5x 41

414:2x 3x 3x 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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 112241871134640/(1x276)

LCM = 112241871134640/276

LCM = 406673446140

Thus, we can understand that the LCM of 586,897,629,820,414 is 406673446140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 897, 629, 820, 414

1. What is the LCM of 586, 897, 629, 820, 414?

Answer: LCM of 586, 897, 629, 820, 414 is 406673446140.

2. How to calculate the LCM of 586, 897, 629, 820, 414?

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, 897, 629, 820, 414.

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}.