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LCM of 157, 963, 377, 879, 896

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


Find the LCM of 157, 963, 377, 879, 896 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 157, 963, 377, 879, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,963,377,879,896

Given numbers are 157,963,377,879,896

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

The LCM of 157,963,377,879,896 is 14963835309696.

Find LCM of 157,963,377,879,896 with Prime Factorization


3 157, 963, 377, 879, 896
157, 321, 377, 293, 896

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

3 x 157 x 321 x 377 x 293 x 896 = 14963835309696

Therefore, the lowest common multiple of 157,963,377,879,896 is 14963835309696.

LCM Formula to Find Lowest Common Multiple of 157,963,377,879,896

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.

157 x 963 x 377 x 879 x 896 = 44891505929088

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.

157 : 1, 157

963 : 1, 3, 9, 107, 321, 963

377 : 1, 13, 29, 377

879 : 1, 3, 293, 879

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,963,377,879,896, is 1.

Now, the common factors can be found like this.

157:157

963:3x 3x 107

377:13x 29

879:3x 293

896:2x 2x 2x 2x 2x 2x 2x 7

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 = 44891505929088/(1x3)

LCM = 44891505929088/3

LCM = 14963835309696

Thus, we can understand that the LCM of 157,963,377,879,896 is 14963835309696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 963, 377, 879, 896

1. What is the LCM of 157, 963, 377, 879, 896?

Answer: LCM of 157, 963, 377, 879, 896 is 14963835309696.

2. How to calculate the LCM of 157, 963, 377, 879, 896?

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 157, 963, 377, 879, 896.

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}.