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LCM of 731, 617, 988, 994, 535

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


Find the LCM of 731, 617, 988, 994, 535 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 731, 617, 988, 994, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,617,988,994,535

Given numbers are 731,617,988,994,535

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

The LCM of 731,617,988,994,535 is 118486714275020.

Find LCM of 731,617,988,994,535 with Prime Factorization


2 731, 617, 988, 994, 535
731, 617, 494, 497, 535

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

2 x 731 x 617 x 494 x 497 x 535 = 118486714275020

Therefore, the lowest common multiple of 731,617,988,994,535 is 118486714275020.

LCM Formula to Find Lowest Common Multiple of 731,617,988,994,535

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.

731 x 617 x 988 x 994 x 535 = 236973428550040

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.

731 : 1, 17, 43, 731

617 : 1, 617

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,617,988,994,535, is 1.

Now, the common factors can be found like this.

731:17x 43

617:617

988:2x 2x 13x 19

994:2x 7x 71

535:5x 107

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 = 236973428550040/(1x2)

LCM = 236973428550040/2

LCM = 118486714275020

Thus, we can understand that the LCM of 731,617,988,994,535 is 118486714275020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 617, 988, 994, 535

1. What is the LCM of 731, 617, 988, 994, 535?

Answer: LCM of 731, 617, 988, 994, 535 is 118486714275020.

2. How to calculate the LCM of 731, 617, 988, 994, 535?

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 731, 617, 988, 994, 535.

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}.