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LCM of 617, 879, 164, 662, 829

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


Find the LCM of 617, 879, 164, 662, 829 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 617, 879, 164, 662, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,879,164,662,829

Given numbers are 617,879,164,662,829

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

The LCM of 617,879,164,662,829 is 24406213804548.

Find LCM of 617,879,164,662,829 with Prime Factorization


2 617, 879, 164, 662, 829
617, 879, 82, 331, 829

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

2 x 617 x 879 x 82 x 331 x 829 = 24406213804548

Therefore, the lowest common multiple of 617,879,164,662,829 is 24406213804548.

LCM Formula to Find Lowest Common Multiple of 617,879,164,662,829

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.

617 x 879 x 164 x 662 x 829 = 48812427609096

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.

617 : 1, 617

879 : 1, 3, 293, 879

164 : 1, 2, 4, 41, 82, 164

662 : 1, 2, 331, 662

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,879,164,662,829, is 1.

Now, the common factors can be found like this.

617:617

879:3x 293

164:2x 2x 41

662:2x 331

829:829

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 = 48812427609096/(1x2)

LCM = 48812427609096/2

LCM = 24406213804548

Thus, we can understand that the LCM of 617,879,164,662,829 is 24406213804548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 879, 164, 662, 829

1. What is the LCM of 617, 879, 164, 662, 829?

Answer: LCM of 617, 879, 164, 662, 829 is 24406213804548.

2. How to calculate the LCM of 617, 879, 164, 662, 829?

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 617, 879, 164, 662, 829.

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}.