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LCM of 986, 555, 381, 851

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


Find the LCM of 986, 555, 381, 851 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 986, 555, 381, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,555,381,851

Given numbers are 986,555,381,851

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

The LCM of 986,555,381,851 is 1598458830.

Find LCM of 986,555,381,851 with Prime Factorization


3 986, 555, 381, 851
37 986, 185, 127, 851
986, 5, 127, 23

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

3 x 37 x 986 x 5 x 127 x 23 = 1598458830

Therefore, the lowest common multiple of 986,555,381,851 is 1598458830.

LCM Formula to Find Lowest Common Multiple of 986,555,381,851

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.

986 x 555 x 381 x 851 = 177428930130

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

555 : 1, 3, 5, 15, 37, 111, 185, 555

381 : 1, 3, 127, 381

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,555,381,851, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

555:3x 5x 37

381:3x 127

851:23x 37

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

3x 37 = 111

Therefore, the value for common factors is 111.

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 = 177428930130/(1x111)

LCM = 177428930130/111

LCM = 1598458830

Thus, we can understand that the LCM of 986,555,381,851 is 1598458830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 555, 381, 851

1. What is the LCM of 986, 555, 381, 851?

Answer: LCM of 986, 555, 381, 851 is 1598458830.

2. How to calculate the LCM of 986, 555, 381, 851?

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 986, 555, 381, 851.

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}.