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LCM of 798, 977, 977, 802

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


Find the LCM of 798, 977, 977, 802 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, 977, 977, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,977,977,802

Given numbers are 798,977,977,802

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

The LCM of 798,977,977,802 is 312638046.

Find LCM of 798,977,977,802 with Prime Factorization


2 798, 977, 977, 802
977 399, 977, 977, 401
399, 1, 1, 401

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

2 x 977 x 399 x 1 x 1 x 401 = 312638046

Therefore, the lowest common multiple of 798,977,977,802 is 312638046.

LCM Formula to Find Lowest Common Multiple of 798,977,977,802

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 977 x 977 x 802 = 610894741884

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

977 : 1, 977

977 : 1, 977

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,977,977,802, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

977:977

977:977

802:2x 401

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

2x 977 = 1954

Therefore, the value for common factors is 1954.

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 = 610894741884/(1x1954)

LCM = 610894741884/1954

LCM = 312638046

Thus, we can understand that the LCM of 798,977,977,802 is 312638046.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 977, 977, 802

1. What is the LCM of 798, 977, 977, 802?

Answer: LCM of 798, 977, 977, 802 is 312638046.

2. How to calculate the LCM of 798, 977, 977, 802?

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, 977, 977, 802.

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}.