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LCM of 810, 670, 422, 393

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


Find the LCM of 810, 670, 422, 393 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, 670, 422, 393. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,670,422,393

Given numbers are 810,670,422,393

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

The LCM of 810,670,422,393 is 1500077070.

Find LCM of 810,670,422,393 with Prime Factorization


2 810, 670, 422, 393
3 405, 335, 211, 393
5 135, 335, 211, 131
27, 67, 211, 131

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

2 x 3 x 5 x 27 x 67 x 211 x 131 = 1500077070

Therefore, the lowest common multiple of 810,670,422,393 is 1500077070.

LCM Formula to Find Lowest Common Multiple of 810,670,422,393

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 670 x 422 x 393 = 90004624200

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

422 : 1, 2, 211, 422

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,670,422,393, is 1.

Now, the common factors can be found like this.

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

670:2x 5x 67

422:2x 211

393:3x 131

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

2x 2x 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 90004624200/(1x60)

LCM = 90004624200/60

LCM = 1500077070

Thus, we can understand that the LCM of 810,670,422,393 is 1500077070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 670, 422, 393

1. What is the LCM of 810, 670, 422, 393?

Answer: LCM of 810, 670, 422, 393 is 1500077070.

2. How to calculate the LCM of 810, 670, 422, 393?

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, 670, 422, 393.

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}.