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LCM of 873, 828, 398, 667

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


Find the LCM of 873, 828, 398, 667 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 873, 828, 398, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,828,398,667

Given numbers are 873,828,398,667

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

The LCM of 873,828,398,667 is 463503636.

Find LCM of 873,828,398,667 with Prime Factorization


2 873, 828, 398, 667
3 873, 414, 199, 667
3 291, 138, 199, 667
23 97, 46, 199, 667
97, 2, 199, 29

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

2 x 3 x 3 x 23 x 97 x 2 x 199 x 29 = 463503636

Therefore, the lowest common multiple of 873,828,398,667 is 463503636.

LCM Formula to Find Lowest Common Multiple of 873,828,398,667

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.

873 x 828 x 398 x 667 = 191890505304

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.

873 : 1, 3, 9, 97, 291, 873

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

398 : 1, 2, 199, 398

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,828,398,667, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

828:2x 2x 3x 3x 23

398:2x 199

667:23x 29

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

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 191890505304/(1x414)

LCM = 191890505304/414

LCM = 463503636

Thus, we can understand that the LCM of 873,828,398,667 is 463503636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 828, 398, 667

1. What is the LCM of 873, 828, 398, 667?

Answer: LCM of 873, 828, 398, 667 is 463503636.

2. How to calculate the LCM of 873, 828, 398, 667?

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 873, 828, 398, 667.

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}.