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LCM of 813, 582, 842, 922, 412

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


Find the LCM of 813, 582, 842, 922, 412 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 813, 582, 842, 922, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,582,842,922,412

Given numbers are 813,582,842,922,412

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

The LCM of 813,582,842,922,412 is 6305833757292.

Find LCM of 813,582,842,922,412 with Prime Factorization


2 813, 582, 842, 922, 412
3 813, 291, 421, 461, 206
271, 97, 421, 461, 206

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

2 x 3 x 271 x 97 x 421 x 461 x 206 = 6305833757292

Therefore, the lowest common multiple of 813,582,842,922,412 is 6305833757292.

LCM Formula to Find Lowest Common Multiple of 813,582,842,922,412

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.

813 x 582 x 842 x 922 x 412 = 151340010175008

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.

813 : 1, 3, 271, 813

582 : 1, 2, 3, 6, 97, 194, 291, 582

842 : 1, 2, 421, 842

922 : 1, 2, 461, 922

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,582,842,922,412, is 1.

Now, the common factors can be found like this.

813:3x 271

582:2x 3x 97

842:2x 421

922:2x 461

412:2x 2x 103

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 3 = 24

Therefore, the value for common factors is 24.

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 = 151340010175008/(1x24)

LCM = 151340010175008/24

LCM = 6305833757292

Thus, we can understand that the LCM of 813,582,842,922,412 is 6305833757292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 582, 842, 922, 412

1. What is the LCM of 813, 582, 842, 922, 412?

Answer: LCM of 813, 582, 842, 922, 412 is 6305833757292.

2. How to calculate the LCM of 813, 582, 842, 922, 412?

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 813, 582, 842, 922, 412.

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}.