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LCM of 305, 231, 797, 764, 191

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


Find the LCM of 305, 231, 797, 764, 191 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 305, 231, 797, 764, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,231,797,764,191

Given numbers are 305,231,797,764,191

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

The LCM of 305,231,797,764,191 is 42900613140.

Find LCM of 305,231,797,764,191 with Prime Factorization


191 305, 231, 797, 764, 191
305, 231, 797, 4, 1

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

191 x 305 x 231 x 797 x 4 x 1 = 42900613140

Therefore, the lowest common multiple of 305,231,797,764,191 is 42900613140.

LCM Formula to Find Lowest Common Multiple of 305,231,797,764,191

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.

305 x 231 x 797 x 764 x 191 = 8194017109740

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.

305 : 1, 5, 61, 305

231 : 1, 3, 7, 11, 21, 33, 77, 231

797 : 1, 797

764 : 1, 2, 4, 191, 382, 764

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,231,797,764,191, is 1.

Now, the common factors can be found like this.

305:5x 61

231:3x 7x 11

797:797

764:2x 2x 191

191:191

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

191 = 191

Therefore, the value for common factors is 191.

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 = 8194017109740/(1x191)

LCM = 8194017109740/191

LCM = 42900613140

Thus, we can understand that the LCM of 305,231,797,764,191 is 42900613140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 231, 797, 764, 191

1. What is the LCM of 305, 231, 797, 764, 191?

Answer: LCM of 305, 231, 797, 764, 191 is 42900613140.

2. How to calculate the LCM of 305, 231, 797, 764, 191?

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 305, 231, 797, 764, 191.

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}.