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LCM of 338, 206, 404, 201, 665

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


Find the LCM of 338, 206, 404, 201, 665 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 338, 206, 404, 201, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,206,404,201,665

Given numbers are 338,206,404,201,665

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

The LCM of 338,206,404,201,665 is 939989488620.

Find LCM of 338,206,404,201,665 with Prime Factorization


2 338, 206, 404, 201, 665
169, 103, 202, 201, 665

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

2 x 169 x 103 x 202 x 201 x 665 = 939989488620

Therefore, the lowest common multiple of 338,206,404,201,665 is 939989488620.

LCM Formula to Find Lowest Common Multiple of 338,206,404,201,665

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.

338 x 206 x 404 x 201 x 665 = 3759957954480

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.

338 : 1, 2, 13, 26, 169, 338

206 : 1, 2, 103, 206

404 : 1, 2, 4, 101, 202, 404

201 : 1, 3, 67, 201

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,206,404,201,665, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

206:2x 103

404:2x 2x 101

201:3x 67

665:5x 7x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3759957954480/(1x4)

LCM = 3759957954480/4

LCM = 939989488620

Thus, we can understand that the LCM of 338,206,404,201,665 is 939989488620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 206, 404, 201, 665

1. What is the LCM of 338, 206, 404, 201, 665?

Answer: LCM of 338, 206, 404, 201, 665 is 939989488620.

2. How to calculate the LCM of 338, 206, 404, 201, 665?

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 338, 206, 404, 201, 665.

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}.