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LCM of 191, 764, 731, 497

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


Find the LCM of 191, 764, 731, 497 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 191, 764, 731, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 191,764,731,497

Given numbers are 191,764,731,497

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

The LCM of 191,764,731,497 is 277566548.

Find LCM of 191,764,731,497 with Prime Factorization


191 191, 764, 731, 497
1, 4, 731, 497

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

191 x 1 x 4 x 731 x 497 = 277566548

Therefore, the lowest common multiple of 191,764,731,497 is 277566548.

LCM Formula to Find Lowest Common Multiple of 191,764,731,497

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.

191 x 764 x 731 x 497 = 53015210668

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.

191 : 1, 191

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

731 : 1, 17, 43, 731

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,764,731,497, is 1.

Now, the common factors can be found like this.

191:191

764:2x 2x 191

731:17x 43

497:7x 71

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 = 53015210668/(1x191)

LCM = 53015210668/191

LCM = 277566548

Thus, we can understand that the LCM of 191,764,731,497 is 277566548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 191, 764, 731, 497

1. What is the LCM of 191, 764, 731, 497?

Answer: LCM of 191, 764, 731, 497 is 277566548.

2. How to calculate the LCM of 191, 764, 731, 497?

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 191, 764, 731, 497.

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}.