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LCM of 574, 458, 446, 839

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


Find the LCM of 574, 458, 446, 839 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 574, 458, 446, 839. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,458,446,839

Given numbers are 574,458,446,839

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

The LCM of 574,458,446,839 is 24593152262.

Find LCM of 574,458,446,839 with Prime Factorization


2 574, 458, 446, 839
287, 229, 223, 839

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

2 x 287 x 229 x 223 x 839 = 24593152262

Therefore, the lowest common multiple of 574,458,446,839 is 24593152262.

LCM Formula to Find Lowest Common Multiple of 574,458,446,839

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.

574 x 458 x 446 x 839 = 98372609048

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

458 : 1, 2, 229, 458

446 : 1, 2, 223, 446

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,458,446,839, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

458:2x 229

446:2x 223

839:839

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 98372609048/(1x4)

LCM = 98372609048/4

LCM = 24593152262

Thus, we can understand that the LCM of 574,458,446,839 is 24593152262.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 458, 446, 839

1. What is the LCM of 574, 458, 446, 839?

Answer: LCM of 574, 458, 446, 839 is 24593152262.

2. How to calculate the LCM of 574, 458, 446, 839?

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 574, 458, 446, 839.

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}.