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LCM of 891, 881, 249, 781

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


Find the LCM of 891, 881, 249, 781 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 891, 881, 249, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 891,881,249,781

Given numbers are 891,881,249,781

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

The LCM of 891,881,249,781 is 4625834103.

Find LCM of 891,881,249,781 with Prime Factorization


3 891, 881, 249, 781
11 297, 881, 83, 781
27, 881, 83, 71

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

3 x 11 x 27 x 881 x 83 x 71 = 4625834103

Therefore, the lowest common multiple of 891,881,249,781 is 4625834103.

LCM Formula to Find Lowest Common Multiple of 891,881,249,781

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.

891 x 881 x 249 x 781 = 152652525399

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.

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

881 : 1, 881

249 : 1, 3, 83, 249

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,881,249,781, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

881:881

249:3x 83

781:11x 71

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 152652525399/(1x33)

LCM = 152652525399/33

LCM = 4625834103

Thus, we can understand that the LCM of 891,881,249,781 is 4625834103.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 891, 881, 249, 781

1. What is the LCM of 891, 881, 249, 781?

Answer: LCM of 891, 881, 249, 781 is 4625834103.

2. How to calculate the LCM of 891, 881, 249, 781?

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 891, 881, 249, 781.

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}.