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LCM of 856, 748, 382, 958

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


Find the LCM of 856, 748, 382, 958 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 856, 748, 382, 958. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,748,382,958

Given numbers are 856,748,382,958

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

The LCM of 856,748,382,958 is 14644827208.

Find LCM of 856,748,382,958 with Prime Factorization


2 856, 748, 382, 958
2 428, 374, 191, 479
214, 187, 191, 479

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

2 x 2 x 214 x 187 x 191 x 479 = 14644827208

Therefore, the lowest common multiple of 856,748,382,958 is 14644827208.

LCM Formula to Find Lowest Common Multiple of 856,748,382,958

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.

856 x 748 x 382 x 958 = 234317235328

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

382 : 1, 2, 191, 382

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,748,382,958, is 2.

Now, the common factors can be found like this.

856:2x 2x 2x 107

748:2x 2x 11x 17

382:2x 191

958:2x 479

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 2 = 8

Therefore, the value for common factors is 8.

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 = 234317235328/(2x8)

LCM = 234317235328/16

LCM = 14644827208

Thus, we can understand that the LCM of 856,748,382,958 is 14644827208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 748, 382, 958

1. What is the LCM of 856, 748, 382, 958?

Answer: LCM of 856, 748, 382, 958 is 14644827208.

2. How to calculate the LCM of 856, 748, 382, 958?

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 856, 748, 382, 958.

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}.