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LCM of 889, 575, 825, 404, 671

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


Find the LCM of 889, 575, 825, 404, 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 889, 575, 825, 404, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 889,575,825,404,671

Given numbers are 889,575,825,404,671

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

The LCM of 889,575,825,404,671 is 415714091100.

Find LCM of 889,575,825,404,671 with Prime Factorization


5 889, 575, 825, 404, 671
5 889, 115, 165, 404, 671
11 889, 23, 33, 404, 671
889, 23, 3, 404, 61

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

5 x 5 x 11 x 889 x 23 x 3 x 404 x 61 = 415714091100

Therefore, the lowest common multiple of 889,575,825,404,671 is 415714091100.

LCM Formula to Find Lowest Common Multiple of 889,575,825,404,671

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.

889 x 575 x 825 x 404 x 671 = 114321375052500

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.

889 : 1, 7, 127, 889

575 : 1, 5, 23, 25, 115, 575

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,575,825,404,671, is 1.

Now, the common factors can be found like this.

889:7x 127

575:5x 5x 23

825:3x 5x 5x 11

404:2x 2x 101

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.

5x 5x 11 = 275

Therefore, the value for common factors is 275.

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 = 114321375052500/(1x275)

LCM = 114321375052500/275

LCM = 415714091100

Thus, we can understand that the LCM of 889,575,825,404,671 is 415714091100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 889, 575, 825, 404, 671

1. What is the LCM of 889, 575, 825, 404, 671?

Answer: LCM of 889, 575, 825, 404, 671 is 415714091100.

2. How to calculate the LCM of 889, 575, 825, 404, 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 889, 575, 825, 404, 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}.