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LCM of 331, 404, 370, 891

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


Find the LCM of 331, 404, 370, 891 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 331, 404, 370, 891. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,404,370,891

Given numbers are 331,404,370,891

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

The LCM of 331,404,370,891 is 22042395540.

Find LCM of 331,404,370,891 with Prime Factorization


2 331, 404, 370, 891
331, 202, 185, 891

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

2 x 331 x 202 x 185 x 891 = 22042395540

Therefore, the lowest common multiple of 331,404,370,891 is 22042395540.

LCM Formula to Find Lowest Common Multiple of 331,404,370,891

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.

331 x 404 x 370 x 891 = 44084791080

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.

331 : 1, 331

404 : 1, 2, 4, 101, 202, 404

370 : 1, 2, 5, 10, 37, 74, 185, 370

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,404,370,891, is 1.

Now, the common factors can be found like this.

331:331

404:2x 2x 101

370:2x 5x 37

891:3x 3x 3x 3x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 44084791080/(1x2)

LCM = 44084791080/2

LCM = 22042395540

Thus, we can understand that the LCM of 331,404,370,891 is 22042395540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 404, 370, 891

1. What is the LCM of 331, 404, 370, 891?

Answer: LCM of 331, 404, 370, 891 is 22042395540.

2. How to calculate the LCM of 331, 404, 370, 891?

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 331, 404, 370, 891.

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}.