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LCM of 568, 412, 922, 361, 291

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


Find the LCM of 568, 412, 922, 361, 291 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 568, 412, 922, 361, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,412,922,361,291

Given numbers are 568,412,922,361,291

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

The LCM of 568,412,922,361,291 is 2833261607544.

Find LCM of 568,412,922,361,291 with Prime Factorization


2 568, 412, 922, 361, 291
2 284, 206, 461, 361, 291
142, 103, 461, 361, 291

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

2 x 2 x 142 x 103 x 461 x 361 x 291 = 2833261607544

Therefore, the lowest common multiple of 568,412,922,361,291 is 2833261607544.

LCM Formula to Find Lowest Common Multiple of 568,412,922,361,291

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.

568 x 412 x 922 x 361 x 291 = 22666092860352

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

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

922 : 1, 2, 461, 922

361 : 1, 19, 361

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,412,922,361,291, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

412:2x 2x 103

922:2x 461

361:19x 19

291:3x 97

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 2 = 8

Therefore, the value for common factors is 8.

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 = 22666092860352/(1x8)

LCM = 22666092860352/8

LCM = 2833261607544

Thus, we can understand that the LCM of 568,412,922,361,291 is 2833261607544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 412, 922, 361, 291

1. What is the LCM of 568, 412, 922, 361, 291?

Answer: LCM of 568, 412, 922, 361, 291 is 2833261607544.

2. How to calculate the LCM of 568, 412, 922, 361, 291?

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 568, 412, 922, 361, 291.

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}.