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LCM of 381, 889, 323, 779, 860

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


Find the LCM of 381, 889, 323, 779, 860 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 381, 889, 323, 779, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,889,323,779,860

Given numbers are 381,889,323,779,860

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

The LCM of 381,889,323,779,860 is 30374409660.

Find LCM of 381,889,323,779,860 with Prime Factorization


19 381, 889, 323, 779, 860
127 381, 889, 17, 41, 860
3, 7, 17, 41, 860

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

19 x 127 x 3 x 7 x 17 x 41 x 860 = 30374409660

Therefore, the lowest common multiple of 381,889,323,779,860 is 30374409660.

LCM Formula to Find Lowest Common Multiple of 381,889,323,779,860

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.

381 x 889 x 323 x 779 x 860 = 73293450509580

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.

381 : 1, 3, 127, 381

889 : 1, 7, 127, 889

323 : 1, 17, 19, 323

779 : 1, 19, 41, 779

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,889,323,779,860, is 1.

Now, the common factors can be found like this.

381:3x 127

889:7x 127

323:17x 19

779:19x 41

860:2x 2x 5x 43

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

19x 127 = 2413

Therefore, the value for common factors is 2413.

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 = 73293450509580/(1x2413)

LCM = 73293450509580/2413

LCM = 30374409660

Thus, we can understand that the LCM of 381,889,323,779,860 is 30374409660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 889, 323, 779, 860

1. What is the LCM of 381, 889, 323, 779, 860?

Answer: LCM of 381, 889, 323, 779, 860 is 30374409660.

2. How to calculate the LCM of 381, 889, 323, 779, 860?

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 381, 889, 323, 779, 860.

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}.