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LCM of 382, 327, 633, 721

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


Find the LCM of 382, 327, 633, 721 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 382, 327, 633, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,327,633,721

Given numbers are 382,327,633,721

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

The LCM of 382,327,633,721 is 19003291734.

Find LCM of 382,327,633,721 with Prime Factorization


3 382, 327, 633, 721
382, 109, 211, 721

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

3 x 382 x 109 x 211 x 721 = 19003291734

Therefore, the lowest common multiple of 382,327,633,721 is 19003291734.

LCM Formula to Find Lowest Common Multiple of 382,327,633,721

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.

382 x 327 x 633 x 721 = 57009875202

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.

382 : 1, 2, 191, 382

327 : 1, 3, 109, 327

633 : 1, 3, 211, 633

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,327,633,721, is 1.

Now, the common factors can be found like this.

382:2x 191

327:3x 109

633:3x 211

721:7x 103

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 = 57009875202/(1x3)

LCM = 57009875202/3

LCM = 19003291734

Thus, we can understand that the LCM of 382,327,633,721 is 19003291734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 327, 633, 721

1. What is the LCM of 382, 327, 633, 721?

Answer: LCM of 382, 327, 633, 721 is 19003291734.

2. How to calculate the LCM of 382, 327, 633, 721?

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 382, 327, 633, 721.

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}.