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LCM of 851, 991, 741, 837, 895

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


Find the LCM of 851, 991, 741, 837, 895 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 851, 991, 741, 837, 895. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,991,741,837,895

Given numbers are 851,991,741,837,895

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

The LCM of 851,991,741,837,895 is 156044570124105.

Find LCM of 851,991,741,837,895 with Prime Factorization


3 851, 991, 741, 837, 895
851, 991, 247, 279, 895

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

3 x 851 x 991 x 247 x 279 x 895 = 156044570124105

Therefore, the lowest common multiple of 851,991,741,837,895 is 156044570124105.

LCM Formula to Find Lowest Common Multiple of 851,991,741,837,895

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.

851 x 991 x 741 x 837 x 895 = 468133710372315

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.

851 : 1, 23, 37, 851

991 : 1, 991

741 : 1, 3, 13, 19, 39, 57, 247, 741

837 : 1, 3, 9, 27, 31, 93, 279, 837

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,991,741,837,895, is 1.

Now, the common factors can be found like this.

851:23x 37

991:991

741:3x 13x 19

837:3x 3x 3x 31

895:5x 179

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

3 = 3

Therefore, the value for common factors is 3.

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 = 468133710372315/(1x3)

LCM = 468133710372315/3

LCM = 156044570124105

Thus, we can understand that the LCM of 851,991,741,837,895 is 156044570124105.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 991, 741, 837, 895

1. What is the LCM of 851, 991, 741, 837, 895?

Answer: LCM of 851, 991, 741, 837, 895 is 156044570124105.

2. How to calculate the LCM of 851, 991, 741, 837, 895?

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 851, 991, 741, 837, 895.

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}.