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LCM of 659, 801, 321, 356

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


Find the LCM of 659, 801, 321, 356 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 659, 801, 321, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,801,321,356

Given numbers are 659,801,321,356

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

The LCM of 659,801,321,356 is 225923652.

Find LCM of 659,801,321,356 with Prime Factorization


3 659, 801, 321, 356
89 659, 267, 107, 356
659, 3, 107, 4

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

3 x 89 x 659 x 3 x 107 x 4 = 225923652

Therefore, the lowest common multiple of 659,801,321,356 is 225923652.

LCM Formula to Find Lowest Common Multiple of 659,801,321,356

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.

659 x 801 x 321 x 356 = 60321615084

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.

659 : 1, 659

801 : 1, 3, 9, 89, 267, 801

321 : 1, 3, 107, 321

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,801,321,356, is 1.

Now, the common factors can be found like this.

659:659

801:3x 3x 89

321:3x 107

356:2x 2x 89

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

3x 89 = 267

Therefore, the value for common factors is 267.

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 = 60321615084/(1x267)

LCM = 60321615084/267

LCM = 225923652

Thus, we can understand that the LCM of 659,801,321,356 is 225923652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 801, 321, 356

1. What is the LCM of 659, 801, 321, 356?

Answer: LCM of 659, 801, 321, 356 is 225923652.

2. How to calculate the LCM of 659, 801, 321, 356?

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 659, 801, 321, 356.

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}.