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LCM of 676, 874, 796

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


Find the LCM of 676, 874, 796 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 676, 874, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,874,796

Given numbers are 676,874,796

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

The LCM of 676,874,796 is 58786988.

Find LCM of 676,874,796 with Prime Factorization


2 676, 874, 796
2 338, 437, 398
169, 437, 199

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

2 x 2 x 169 x 437 x 199 = 58786988

Therefore, the lowest common multiple of 676,874,796 is 58786988.

LCM Formula to Find Lowest Common Multiple of 676,874,796

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.

676 x 874 x 796 = 470295904

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

874 : 1, 2, 19, 23, 38, 46, 437, 874

796 : 1, 2, 4, 199, 398, 796

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,874,796, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

874:2x 19x 23

796:2x 2x 199

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 470295904/(2x4)

LCM = 470295904/8

LCM = 58786988

Thus, we can understand that the LCM of 676,874,796 is 58786988.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 676, 874, 796

1. What is the LCM of 676, 874, 796?

Answer: LCM of 676, 874, 796 is 58786988.

2. How to calculate the LCM of 676, 874, 796?

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 676, 874, 796.

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}.