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LCM of 731, 497, 960, 701, 610

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


Find the LCM of 731, 497, 960, 701, 610 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, 497, 960, 701, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,497,960,701,610

Given numbers are 731,497,960,701,610

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

The LCM of 731,497,960,701,610 is 14913955801920.

Find LCM of 731,497,960,701,610 with Prime Factorization


2 731, 497, 960, 701, 610
5 731, 497, 480, 701, 305
731, 497, 96, 701, 61

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

2 x 5 x 731 x 497 x 96 x 701 x 61 = 14913955801920

Therefore, the lowest common multiple of 731,497,960,701,610 is 14913955801920.

LCM Formula to Find Lowest Common Multiple of 731,497,960,701,610

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 497 x 960 x 701 x 610 = 149139558019200

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

497 : 1, 7, 71, 497

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

701 : 1, 701

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,497,960,701,610, is 1.

Now, the common factors can be found like this.

731:17x 43

497:7x 71

960:2x 2x 2x 2x 2x 2x 3x 5

701:701

610:2x 5x 61

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 149139558019200/(1x10)

LCM = 149139558019200/10

LCM = 14913955801920

Thus, we can understand that the LCM of 731,497,960,701,610 is 14913955801920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 497, 960, 701, 610

1. What is the LCM of 731, 497, 960, 701, 610?

Answer: LCM of 731, 497, 960, 701, 610 is 14913955801920.

2. How to calculate the LCM of 731, 497, 960, 701, 610?

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, 497, 960, 701, 610.

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}.