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LCM of 8891, 1904

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


Find the LCM of 8891, 1904 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 8891, 1904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8891,1904

Given numbers are 8891,1904

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

The LCM of 8891,1904 is 995792.

Find LCM of 8891,1904 with Prime Factorization


17 8891, 1904
523, 112

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

17 x 523 x 112 = 995792

Therefore, the lowest common multiple of 8891,1904 is 995792.

LCM Formula to Find Lowest Common Multiple of 8891,1904

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.

8891 x 1904 = 16928464

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.

8891 : 1, 17, 523, 8891

1904 : 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8891,1904, is 17.

Now, the common factors can be found like this.

8891:17x 523

1904:2x 2x 2x 2x 7x 17

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

= 1

Therefore, the value for common factors is 1.

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 = 16928464/(17x1)

LCM = 16928464/17

LCM = 995792

Thus, we can understand that the LCM of 8891,1904 is 995792.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8891, 1904

1. What is the LCM of 8891, 1904?

Answer: LCM of 8891, 1904 is 995792.

2. How to calculate the LCM of 8891, 1904?

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 8891, 1904.

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}.