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LCM of 445, 755, 808, 754, 671

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


Find the LCM of 445, 755, 808, 754, 671 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 445, 755, 808, 754, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 445,755,808,754,671

Given numbers are 445,755,808,754,671

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

The LCM of 445,755,808,754,671 is 13734478992520.

Find LCM of 445,755,808,754,671 with Prime Factorization


2 445, 755, 808, 754, 671
5 445, 755, 404, 377, 671
89, 151, 404, 377, 671

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

2 x 5 x 89 x 151 x 404 x 377 x 671 = 13734478992520

Therefore, the lowest common multiple of 445,755,808,754,671 is 13734478992520.

LCM Formula to Find Lowest Common Multiple of 445,755,808,754,671

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.

445 x 755 x 808 x 754 x 671 = 137344789925200

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.

445 : 1, 5, 89, 445

755 : 1, 5, 151, 755

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,755,808,754,671, is 1.

Now, the common factors can be found like this.

445:5x 89

755:5x 151

808:2x 2x 2x 101

754:2x 13x 29

671:11x 61

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 137344789925200/(1x10)

LCM = 137344789925200/10

LCM = 13734478992520

Thus, we can understand that the LCM of 445,755,808,754,671 is 13734478992520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 445, 755, 808, 754, 671

1. What is the LCM of 445, 755, 808, 754, 671?

Answer: LCM of 445, 755, 808, 754, 671 is 13734478992520.

2. How to calculate the LCM of 445, 755, 808, 754, 671?

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 445, 755, 808, 754, 671.

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}.