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LCM of 124, 634, 250, 449, 855

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


Find the LCM of 124, 634, 250, 449, 855 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 124, 634, 250, 449, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 124,634,250,449,855

Given numbers are 124,634,250,449,855

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

The LCM of 124,634,250,449,855 is 377253616500.

Find LCM of 124,634,250,449,855 with Prime Factorization


2 124, 634, 250, 449, 855
5 62, 317, 125, 449, 855
62, 317, 25, 449, 171

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

2 x 5 x 62 x 317 x 25 x 449 x 171 = 377253616500

Therefore, the lowest common multiple of 124,634,250,449,855 is 377253616500.

LCM Formula to Find Lowest Common Multiple of 124,634,250,449,855

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.

124 x 634 x 250 x 449 x 855 = 7545072330000

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.

124 : 1, 2, 4, 31, 62, 124

634 : 1, 2, 317, 634

250 : 1, 2, 5, 10, 25, 50, 125, 250

449 : 1, 449

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,634,250,449,855, is 1.

Now, the common factors can be found like this.

124:2x 2x 31

634:2x 317

250:2x 5x 5x 5

449:449

855:3x 3x 5x 19

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 5 = 20

Therefore, the value for common factors is 20.

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 = 7545072330000/(1x20)

LCM = 7545072330000/20

LCM = 377253616500

Thus, we can understand that the LCM of 124,634,250,449,855 is 377253616500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 124, 634, 250, 449, 855

1. What is the LCM of 124, 634, 250, 449, 855?

Answer: LCM of 124, 634, 250, 449, 855 is 377253616500.

2. How to calculate the LCM of 124, 634, 250, 449, 855?

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 124, 634, 250, 449, 855.

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}.