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LCM of 810, 913, 596, 697

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


Find the LCM of 810, 913, 596, 697 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 810, 913, 596, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,913,596,697

Given numbers are 810,913,596,697

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

The LCM of 810,913,596,697 is 153604818180.

Find LCM of 810,913,596,697 with Prime Factorization


2 810, 913, 596, 697
405, 913, 298, 697

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

2 x 405 x 913 x 298 x 697 = 153604818180

Therefore, the lowest common multiple of 810,913,596,697 is 153604818180.

LCM Formula to Find Lowest Common Multiple of 810,913,596,697

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.

810 x 913 x 596 x 697 = 307209636360

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

913 : 1, 11, 83, 913

596 : 1, 2, 4, 149, 298, 596

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,913,596,697, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

913:11x 83

596:2x 2x 149

697:17x 41

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 = 307209636360/(1x2)

LCM = 307209636360/2

LCM = 153604818180

Thus, we can understand that the LCM of 810,913,596,697 is 153604818180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 913, 596, 697

1. What is the LCM of 810, 913, 596, 697?

Answer: LCM of 810, 913, 596, 697 is 153604818180.

2. How to calculate the LCM of 810, 913, 596, 697?

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 810, 913, 596, 697.

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}.