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LCM of 997, 847, 391, 391, 191

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


Find the LCM of 997, 847, 391, 391, 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 997, 847, 391, 391, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,847,391,391,191

Given numbers are 997,847,391,391,191

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

The LCM of 997,847,391,391,191 is 63065042579.

Find LCM of 997,847,391,391,191 with Prime Factorization


17 997, 847, 391, 391, 191
23 997, 847, 23, 23, 191
997, 847, 1, 1, 191

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

17 x 23 x 997 x 847 x 1 x 1 x 191 = 63065042579

Therefore, the lowest common multiple of 997,847,391,391,191 is 63065042579.

LCM Formula to Find Lowest Common Multiple of 997,847,391,391,191

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.

997 x 847 x 391 x 391 x 191 = 24658431648389

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.

997 : 1, 997

847 : 1, 7, 11, 77, 121, 847

391 : 1, 17, 23, 391

391 : 1, 17, 23, 391

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,847,391,391,191, is 1.

Now, the common factors can be found like this.

997:997

847:7x 11x 11

391:17x 23

391:17x 23

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.

17x 23 = 391

Therefore, the value for common factors is 391.

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 = 24658431648389/(1x391)

LCM = 24658431648389/391

LCM = 63065042579

Thus, we can understand that the LCM of 997,847,391,391,191 is 63065042579.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 847, 391, 391, 191

1. What is the LCM of 997, 847, 391, 391, 191?

Answer: LCM of 997, 847, 391, 391, 191 is 63065042579.

2. How to calculate the LCM of 997, 847, 391, 391, 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 997, 847, 391, 391, 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}.