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LCM of 891, 959, 989, 681

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


Find the LCM of 891, 959, 989, 681 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, 959, 989, 681. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 891,959,989,681

Given numbers are 891,959,989,681

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

The LCM of 891,959,989,681 is 191830853907.

Find LCM of 891,959,989,681 with Prime Factorization


3 891, 959, 989, 681
297, 959, 989, 227

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

3 x 297 x 959 x 989 x 227 = 191830853907

Therefore, the lowest common multiple of 891,959,989,681 is 191830853907.

LCM Formula to Find Lowest Common Multiple of 891,959,989,681

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 959 x 989 x 681 = 575492561721

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

959 : 1, 7, 137, 959

989 : 1, 23, 43, 989

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,959,989,681, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

959:7x 137

989:23x 43

681:3x 227

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 = 575492561721/(1x3)

LCM = 575492561721/3

LCM = 191830853907

Thus, we can understand that the LCM of 891,959,989,681 is 191830853907.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 891, 959, 989, 681

1. What is the LCM of 891, 959, 989, 681?

Answer: LCM of 891, 959, 989, 681 is 191830853907.

2. How to calculate the LCM of 891, 959, 989, 681?

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, 959, 989, 681.

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}.