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, 274, 548, 851

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


Find the LCM of 856, 274, 548, 851 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, 274, 548, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,274,548,851

Given numbers are 856,274,548,851

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

The LCM of 856,274,548,851 is 99798472.

Find LCM of 856,274,548,851 with Prime Factorization


2 856, 274, 548, 851
2 428, 137, 274, 851
137 214, 137, 137, 851
214, 1, 1, 851

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

2 x 2 x 137 x 214 x 1 x 1 x 851 = 99798472

Therefore, the lowest common multiple of 856,274,548,851 is 99798472.

LCM Formula to Find Lowest Common Multiple of 856,274,548,851

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 274 x 548 x 851 = 109379125312

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

274 : 1, 2, 137, 274

548 : 1, 2, 4, 137, 274, 548

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,274,548,851, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

274:2x 137

548:2x 2x 137

851:23x 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 137 = 1096

Therefore, the value for common factors is 1096.

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 = 109379125312/(1x1096)

LCM = 109379125312/1096

LCM = 99798472

Thus, we can understand that the LCM of 856,274,548,851 is 99798472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 274, 548, 851

1. What is the LCM of 856, 274, 548, 851?

Answer: LCM of 856, 274, 548, 851 is 99798472.

2. How to calculate the LCM of 856, 274, 548, 851?

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, 274, 548, 851.

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}.