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LCM of 798, 606, 277, 828

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


Find the LCM of 798, 606, 277, 828 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 798, 606, 277, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,606,277,828

Given numbers are 798,606,277,828

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

The LCM of 798,606,277,828 is 3080939148.

Find LCM of 798,606,277,828 with Prime Factorization


2 798, 606, 277, 828
3 399, 303, 277, 414
133, 101, 277, 138

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

2 x 3 x 133 x 101 x 277 x 138 = 3080939148

Therefore, the lowest common multiple of 798,606,277,828 is 3080939148.

LCM Formula to Find Lowest Common Multiple of 798,606,277,828

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.

798 x 606 x 277 x 828 = 110913809328

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

606 : 1, 2, 3, 6, 101, 202, 303, 606

277 : 1, 277

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,606,277,828, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

606:2x 3x 101

277:277

828:2x 2x 3x 3x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 110913809328/(1x36)

LCM = 110913809328/36

LCM = 3080939148

Thus, we can understand that the LCM of 798,606,277,828 is 3080939148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 606, 277, 828

1. What is the LCM of 798, 606, 277, 828?

Answer: LCM of 798, 606, 277, 828 is 3080939148.

2. How to calculate the LCM of 798, 606, 277, 828?

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 798, 606, 277, 828.

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}.