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LCM of 364, 286, 451, 581

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


Find the LCM of 364, 286, 451, 581 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 364, 286, 451, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,286,451,581

Given numbers are 364,286,451,581

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

The LCM of 364,286,451,581 is 13625612.

Find LCM of 364,286,451,581 with Prime Factorization


2 364, 286, 451, 581
7 182, 143, 451, 581
11 26, 143, 451, 83
13 26, 13, 41, 83
2, 1, 41, 83

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

2 x 7 x 11 x 13 x 2 x 1 x 41 x 83 = 13625612

Therefore, the lowest common multiple of 364,286,451,581 is 13625612.

LCM Formula to Find Lowest Common Multiple of 364,286,451,581

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.

364 x 286 x 451 x 581 = 27278475224

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

286 : 1, 2, 11, 13, 22, 26, 143, 286

451 : 1, 11, 41, 451

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,286,451,581, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

286:2x 11x 13

451:11x 41

581:7x 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 7x 11x 13 = 2002

Therefore, the value for common factors is 2002.

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 = 27278475224/(1x2002)

LCM = 27278475224/2002

LCM = 13625612

Thus, we can understand that the LCM of 364,286,451,581 is 13625612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 286, 451, 581

1. What is the LCM of 364, 286, 451, 581?

Answer: LCM of 364, 286, 451, 581 is 13625612.

2. How to calculate the LCM of 364, 286, 451, 581?

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 364, 286, 451, 581.

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}.