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LCM of 331, 322, 826, 867

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


Find the LCM of 331, 322, 826, 867 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, 322, 826, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,322,826,867

Given numbers are 331,322,826,867

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

The LCM of 331,322,826,867 is 5451989046.

Find LCM of 331,322,826,867 with Prime Factorization


2 331, 322, 826, 867
7 331, 161, 413, 867
331, 23, 59, 867

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

2 x 7 x 331 x 23 x 59 x 867 = 5451989046

Therefore, the lowest common multiple of 331,322,826,867 is 5451989046.

LCM Formula to Find Lowest Common Multiple of 331,322,826,867

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 322 x 826 x 867 = 76327846644

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

826 : 1, 2, 7, 14, 59, 118, 413, 826

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,322,826,867, is 1.

Now, the common factors can be found like this.

331:331

322:2x 7x 23

826:2x 7x 59

867:3x 17x 17

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 76327846644/(1x14)

LCM = 76327846644/14

LCM = 5451989046

Thus, we can understand that the LCM of 331,322,826,867 is 5451989046.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 322, 826, 867

1. What is the LCM of 331, 322, 826, 867?

Answer: LCM of 331, 322, 826, 867 is 5451989046.

2. How to calculate the LCM of 331, 322, 826, 867?

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, 322, 826, 867.

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}.