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LCM of 855, 133, 107, 634, 380

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


Find the LCM of 855, 133, 107, 634, 380 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 855, 133, 107, 634, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,133,107,634,380

Given numbers are 855,133,107,634,380

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

The LCM of 855,133,107,634,380 is 812020860.

Find LCM of 855,133,107,634,380 with Prime Factorization


2 855, 133, 107, 634, 380
5 855, 133, 107, 317, 190
19 171, 133, 107, 317, 38
9, 7, 107, 317, 2

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

2 x 5 x 19 x 9 x 7 x 107 x 317 x 2 = 812020860

Therefore, the lowest common multiple of 855,133,107,634,380 is 812020860.

LCM Formula to Find Lowest Common Multiple of 855,133,107,634,380

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.

855 x 133 x 107 x 634 x 380 = 2931395304600

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.

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

133 : 1, 7, 19, 133

107 : 1, 107

634 : 1, 2, 317, 634

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,133,107,634,380, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

133:7x 19

107:107

634:2x 317

380:2x 2x 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 5x 19x 19 = 3610

Therefore, the value for common factors is 3610.

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 = 2931395304600/(1x3610)

LCM = 2931395304600/3610

LCM = 812020860

Thus, we can understand that the LCM of 855,133,107,634,380 is 812020860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 133, 107, 634, 380

1. What is the LCM of 855, 133, 107, 634, 380?

Answer: LCM of 855, 133, 107, 634, 380 is 812020860.

2. How to calculate the LCM of 855, 133, 107, 634, 380?

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 855, 133, 107, 634, 380.

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}.