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LCM of 484, 755, 906, 593

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


Find the LCM of 484, 755, 906, 593 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, 755, 906, 593. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,755,906,593

Given numbers are 484,755,906,593

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

The LCM of 484,755,906,593 is 650082180.

Find LCM of 484,755,906,593 with Prime Factorization


2 484, 755, 906, 593
151 242, 755, 453, 593
242, 5, 3, 593

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

2 x 151 x 242 x 5 x 3 x 593 = 650082180

Therefore, the lowest common multiple of 484,755,906,593 is 650082180.

LCM Formula to Find Lowest Common Multiple of 484,755,906,593

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 755 x 906 x 593 = 196324818360

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

755 : 1, 5, 151, 755

906 : 1, 2, 3, 6, 151, 302, 453, 906

593 : 1, 593

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,755,906,593, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

755:5x 151

906:2x 3x 151

593:593

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

2x 151 = 302

Therefore, the value for common factors is 302.

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 = 196324818360/(1x302)

LCM = 196324818360/302

LCM = 650082180

Thus, we can understand that the LCM of 484,755,906,593 is 650082180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 755, 906, 593

1. What is the LCM of 484, 755, 906, 593?

Answer: LCM of 484, 755, 906, 593 is 650082180.

2. How to calculate the LCM of 484, 755, 906, 593?

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, 755, 906, 593.

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}.