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LCM of 844, 304, 458, 590

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


Find the LCM of 844, 304, 458, 590 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 844, 304, 458, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,304,458,590

Given numbers are 844,304,458,590

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

The LCM of 844,304,458,590 is 4333247920.

Find LCM of 844,304,458,590 with Prime Factorization


2 844, 304, 458, 590
2 422, 152, 229, 295
211, 76, 229, 295

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

2 x 2 x 211 x 76 x 229 x 295 = 4333247920

Therefore, the lowest common multiple of 844,304,458,590 is 4333247920.

LCM Formula to Find Lowest Common Multiple of 844,304,458,590

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.

844 x 304 x 458 x 590 = 69331966720

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.

844 : 1, 2, 4, 211, 422, 844

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

458 : 1, 2, 229, 458

590 : 1, 2, 5, 10, 59, 118, 295, 590

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,304,458,590, is 2.

Now, the common factors can be found like this.

844:2x 2x 211

304:2x 2x 2x 2x 19

458:2x 229

590:2x 5x 59

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 = 69331966720/(2x8)

LCM = 69331966720/16

LCM = 4333247920

Thus, we can understand that the LCM of 844,304,458,590 is 4333247920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 304, 458, 590

1. What is the LCM of 844, 304, 458, 590?

Answer: LCM of 844, 304, 458, 590 is 4333247920.

2. How to calculate the LCM of 844, 304, 458, 590?

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 844, 304, 458, 590.

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}.