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LCM of 856, 722, 279, 199, 592

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


Find the LCM of 856, 722, 279, 199, 592 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, 722, 279, 199, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,722,279,199,592

Given numbers are 856,722,279,199,592

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

The LCM of 856,722,279,199,592 is 1269608922864.

Find LCM of 856,722,279,199,592 with Prime Factorization


2 856, 722, 279, 199, 592
2 428, 361, 279, 199, 296
2 214, 361, 279, 199, 148
107, 361, 279, 199, 74

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

2 x 2 x 2 x 107 x 361 x 279 x 199 x 74 = 1269608922864

Therefore, the lowest common multiple of 856,722,279,199,592 is 1269608922864.

LCM Formula to Find Lowest Common Multiple of 856,722,279,199,592

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 722 x 279 x 199 x 592 = 20313742765824

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

722 : 1, 2, 19, 38, 361, 722

279 : 1, 3, 9, 31, 93, 279

199 : 1, 199

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,722,279,199,592, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

722:2x 19x 19

279:3x 3x 31

199:199

592:2x 2x 2x 2x 37

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 20313742765824/(1x16)

LCM = 20313742765824/16

LCM = 1269608922864

Thus, we can understand that the LCM of 856,722,279,199,592 is 1269608922864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 722, 279, 199, 592

1. What is the LCM of 856, 722, 279, 199, 592?

Answer: LCM of 856, 722, 279, 199, 592 is 1269608922864.

2. How to calculate the LCM of 856, 722, 279, 199, 592?

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, 722, 279, 199, 592.

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}.