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LCM of 381, 201, 674, 731, 353

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


Find the LCM of 381, 201, 674, 731, 353 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 381, 201, 674, 731, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,201,674,731,353

Given numbers are 381,201,674,731,353

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

The LCM of 381,201,674,731,353 is 4439680907514.

Find LCM of 381,201,674,731,353 with Prime Factorization


3 381, 201, 674, 731, 353
127, 67, 674, 731, 353

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

3 x 127 x 67 x 674 x 731 x 353 = 4439680907514

Therefore, the lowest common multiple of 381,201,674,731,353 is 4439680907514.

LCM Formula to Find Lowest Common Multiple of 381,201,674,731,353

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.

381 x 201 x 674 x 731 x 353 = 13319042722542

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.

381 : 1, 3, 127, 381

201 : 1, 3, 67, 201

674 : 1, 2, 337, 674

731 : 1, 17, 43, 731

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,201,674,731,353, is 1.

Now, the common factors can be found like this.

381:3x 127

201:3x 67

674:2x 337

731:17x 43

353:353

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

3 = 3

Therefore, the value for common factors is 3.

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 = 13319042722542/(1x3)

LCM = 13319042722542/3

LCM = 4439680907514

Thus, we can understand that the LCM of 381,201,674,731,353 is 4439680907514.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 201, 674, 731, 353

1. What is the LCM of 381, 201, 674, 731, 353?

Answer: LCM of 381, 201, 674, 731, 353 is 4439680907514.

2. How to calculate the LCM of 381, 201, 674, 731, 353?

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 381, 201, 674, 731, 353.

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}.