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LCM of 571, 682, 445, 286

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


Find the LCM of 571, 682, 445, 286 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 571, 682, 445, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,682,445,286

Given numbers are 571,682,445,286

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

The LCM of 571,682,445,286 is 2252806270.

Find LCM of 571,682,445,286 with Prime Factorization


2 571, 682, 445, 286
11 571, 341, 445, 143
571, 31, 445, 13

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

2 x 11 x 571 x 31 x 445 x 13 = 2252806270

Therefore, the lowest common multiple of 571,682,445,286 is 2252806270.

LCM Formula to Find Lowest Common Multiple of 571,682,445,286

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.

571 x 682 x 445 x 286 = 49561737940

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.

571 : 1, 571

682 : 1, 2, 11, 22, 31, 62, 341, 682

445 : 1, 5, 89, 445

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,682,445,286, is 1.

Now, the common factors can be found like this.

571:571

682:2x 11x 31

445:5x 89

286:2x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 49561737940/(1x22)

LCM = 49561737940/22

LCM = 2252806270

Thus, we can understand that the LCM of 571,682,445,286 is 2252806270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 682, 445, 286

1. What is the LCM of 571, 682, 445, 286?

Answer: LCM of 571, 682, 445, 286 is 2252806270.

2. How to calculate the LCM of 571, 682, 445, 286?

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 571, 682, 445, 286.

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}.