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LCM of 566, 671, 754, 512, 165

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


Find the LCM of 566, 671, 754, 512, 165 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 566, 671, 754, 512, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,671,754,512,165

Given numbers are 566,671,754,512,165

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

The LCM of 566,671,754,512,165 is 549808596480.

Find LCM of 566,671,754,512,165 with Prime Factorization


2 566, 671, 754, 512, 165
11 283, 671, 377, 256, 165
283, 61, 377, 256, 15

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

2 x 11 x 283 x 61 x 377 x 256 x 15 = 549808596480

Therefore, the lowest common multiple of 566,671,754,512,165 is 549808596480.

LCM Formula to Find Lowest Common Multiple of 566,671,754,512,165

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.

566 x 671 x 754 x 512 x 165 = 24191578245120

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.

566 : 1, 2, 283, 566

671 : 1, 11, 61, 671

754 : 1, 2, 13, 26, 29, 58, 377, 754

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,671,754,512,165, is 1.

Now, the common factors can be found like this.

566:2x 283

671:11x 61

754:2x 13x 29

512:2x 2x 2x 2x 2x 2x 2x 2x 2

165:3x 5x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 24191578245120/(1x44)

LCM = 24191578245120/44

LCM = 549808596480

Thus, we can understand that the LCM of 566,671,754,512,165 is 549808596480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 671, 754, 512, 165

1. What is the LCM of 566, 671, 754, 512, 165?

Answer: LCM of 566, 671, 754, 512, 165 is 549808596480.

2. How to calculate the LCM of 566, 671, 754, 512, 165?

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 566, 671, 754, 512, 165.

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}.