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LCM of 896, 899, 179, 338, 267

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


Find the LCM of 896, 899, 179, 338, 267 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 896, 899, 179, 338, 267. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,899,179,338,267

Given numbers are 896,899,179,338,267

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

The LCM of 896,899,179,338,267 is 6506069501568.

Find LCM of 896,899,179,338,267 with Prime Factorization


2 896, 899, 179, 338, 267
448, 899, 179, 169, 267

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

2 x 448 x 899 x 179 x 169 x 267 = 6506069501568

Therefore, the lowest common multiple of 896,899,179,338,267 is 6506069501568.

LCM Formula to Find Lowest Common Multiple of 896,899,179,338,267

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.

896 x 899 x 179 x 338 x 267 = 13012139003136

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.

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

899 : 1, 29, 31, 899

179 : 1, 179

338 : 1, 2, 13, 26, 169, 338

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,899,179,338,267, is 1.

Now, the common factors can be found like this.

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

899:29x 31

179:179

338:2x 13x 13

267:3x 89

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

2 = 2

Therefore, the value for common factors is 2.

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 = 13012139003136/(1x2)

LCM = 13012139003136/2

LCM = 6506069501568

Thus, we can understand that the LCM of 896,899,179,338,267 is 6506069501568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 899, 179, 338, 267

1. What is the LCM of 896, 899, 179, 338, 267?

Answer: LCM of 896, 899, 179, 338, 267 is 6506069501568.

2. How to calculate the LCM of 896, 899, 179, 338, 267?

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 896, 899, 179, 338, 267.

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}.