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LCM of 713, 348, 878, 979

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


Find the LCM of 713, 348, 878, 979 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 713, 348, 878, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,348,878,979

Given numbers are 713,348,878,979

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

The LCM of 713,348,878,979 is 106638980844.

Find LCM of 713,348,878,979 with Prime Factorization


2 713, 348, 878, 979
713, 174, 439, 979

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

2 x 713 x 174 x 439 x 979 = 106638980844

Therefore, the lowest common multiple of 713,348,878,979 is 106638980844.

LCM Formula to Find Lowest Common Multiple of 713,348,878,979

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.

713 x 348 x 878 x 979 = 213277961688

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.

713 : 1, 23, 31, 713

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

878 : 1, 2, 439, 878

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,348,878,979, is 1.

Now, the common factors can be found like this.

713:23x 31

348:2x 2x 3x 29

878:2x 439

979:11x 89

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 = 213277961688/(1x2)

LCM = 213277961688/2

LCM = 106638980844

Thus, we can understand that the LCM of 713,348,878,979 is 106638980844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 348, 878, 979

1. What is the LCM of 713, 348, 878, 979?

Answer: LCM of 713, 348, 878, 979 is 106638980844.

2. How to calculate the LCM of 713, 348, 878, 979?

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 713, 348, 878, 979.

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}.