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LCM of 341, 590, 617, 994, 383

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


Find the LCM of 341, 590, 617, 994, 383 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 341, 590, 617, 994, 383. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,590,617,994,383

Given numbers are 341,590,617,994,383

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

The LCM of 341,590,617,994,383 is 23629074814730.

Find LCM of 341,590,617,994,383 with Prime Factorization


2 341, 590, 617, 994, 383
341, 295, 617, 497, 383

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

2 x 341 x 295 x 617 x 497 x 383 = 23629074814730

Therefore, the lowest common multiple of 341,590,617,994,383 is 23629074814730.

LCM Formula to Find Lowest Common Multiple of 341,590,617,994,383

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.

341 x 590 x 617 x 994 x 383 = 47258149629460

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.

341 : 1, 11, 31, 341

590 : 1, 2, 5, 10, 59, 118, 295, 590

617 : 1, 617

994 : 1, 2, 7, 14, 71, 142, 497, 994

383 : 1, 383

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,590,617,994,383, is 1.

Now, the common factors can be found like this.

341:11x 31

590:2x 5x 59

617:617

994:2x 7x 71

383:383

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

2 = 2

Therefore, the value for common factors is 2.

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 = 47258149629460/(1x2)

LCM = 47258149629460/2

LCM = 23629074814730

Thus, we can understand that the LCM of 341,590,617,994,383 is 23629074814730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 590, 617, 994, 383

1. What is the LCM of 341, 590, 617, 994, 383?

Answer: LCM of 341, 590, 617, 994, 383 is 23629074814730.

2. How to calculate the LCM of 341, 590, 617, 994, 383?

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 341, 590, 617, 994, 383.

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}.