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LCM of 484, 319, 605, 721

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


Find the LCM of 484, 319, 605, 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 484, 319, 605, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,319,605,721

Given numbers are 484,319,605,721

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

The LCM of 484,319,605,721 is 50599780.

Find LCM of 484,319,605,721 with Prime Factorization


11 484, 319, 605, 721
11 44, 29, 55, 721
4, 29, 5, 721

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

11 x 11 x 4 x 29 x 5 x 721 = 50599780

Therefore, the lowest common multiple of 484,319,605,721 is 50599780.

LCM Formula to Find Lowest Common Multiple of 484,319,605,721

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.

484 x 319 x 605 x 721 = 67348307180

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

319 : 1, 11, 29, 319

605 : 1, 5, 11, 55, 121, 605

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,319,605,721, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

319:11x 29

605:5x 11x 11

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.

11x 11x 11 = 1331

Therefore, the value for common factors is 1331.

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 = 67348307180/(1x1331)

LCM = 67348307180/1331

LCM = 50599780

Thus, we can understand that the LCM of 484,319,605,721 is 50599780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 319, 605, 721

1. What is the LCM of 484, 319, 605, 721?

Answer: LCM of 484, 319, 605, 721 is 50599780.

2. How to calculate the LCM of 484, 319, 605, 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 484, 319, 605, 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}.