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LCM of 478, 568, 791, 534, 573

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


Find the LCM of 478, 568, 791, 534, 573 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 478, 568, 791, 534, 573. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 478,568,791,534,573

Given numbers are 478,568,791,534,573

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

The LCM of 478,568,791,534,573 is 5476049292504.

Find LCM of 478,568,791,534,573 with Prime Factorization


2 478, 568, 791, 534, 573
3 239, 284, 791, 267, 573
239, 284, 791, 89, 191

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

2 x 3 x 239 x 284 x 791 x 89 x 191 = 5476049292504

Therefore, the lowest common multiple of 478,568,791,534,573 is 5476049292504.

LCM Formula to Find Lowest Common Multiple of 478,568,791,534,573

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.

478 x 568 x 791 x 534 x 573 = 65712591510048

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.

478 : 1, 2, 239, 478

568 : 1, 2, 4, 8, 71, 142, 284, 568

791 : 1, 7, 113, 791

534 : 1, 2, 3, 6, 89, 178, 267, 534

573 : 1, 3, 191, 573

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,568,791,534,573, is 1.

Now, the common factors can be found like this.

478:2x 239

568:2x 2x 2x 71

791:7x 113

534:2x 3x 89

573:3x 191

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 65712591510048/(1x12)

LCM = 65712591510048/12

LCM = 5476049292504

Thus, we can understand that the LCM of 478,568,791,534,573 is 5476049292504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 478, 568, 791, 534, 573

1. What is the LCM of 478, 568, 791, 534, 573?

Answer: LCM of 478, 568, 791, 534, 573 is 5476049292504.

2. How to calculate the LCM of 478, 568, 791, 534, 573?

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 478, 568, 791, 534, 573.

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}.