LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 856, 319, 800, 949, 856

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


Find the LCM of 856, 319, 800, 949, 856 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, 319, 800, 949, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,319,800,949,856

Given numbers are 856,319,800,949,856

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

The LCM of 856,319,800,949,856 is 25913773600.

Find LCM of 856,319,800,949,856 with Prime Factorization


2 856, 319, 800, 949, 856
2 428, 319, 400, 949, 428
2 214, 319, 200, 949, 214
107 107, 319, 100, 949, 107
1, 319, 100, 949, 1

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

2 x 2 x 2 x 107 x 1 x 319 x 100 x 949 x 1 = 25913773600

Therefore, the lowest common multiple of 856,319,800,949,856 is 25913773600.

LCM Formula to Find Lowest Common Multiple of 856,319,800,949,856

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 319 x 800 x 949 x 856 = 177457521612800

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

319 : 1, 11, 29, 319

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

949 : 1, 13, 73, 949

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,319,800,949,856, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

319:11x 29

800:2x 2x 2x 2x 2x 5x 5

949:13x 73

856:2x 2x 2x 107

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 2x 2x 2x 107 = 6848

Therefore, the value for common factors is 6848.

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 = 177457521612800/(1x6848)

LCM = 177457521612800/6848

LCM = 25913773600

Thus, we can understand that the LCM of 856,319,800,949,856 is 25913773600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 319, 800, 949, 856

1. What is the LCM of 856, 319, 800, 949, 856?

Answer: LCM of 856, 319, 800, 949, 856 is 25913773600.

2. How to calculate the LCM of 856, 319, 800, 949, 856?

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, 319, 800, 949, 856.

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}.