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LCM of 559, 411, 191, 137, 989

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


Find the LCM of 559, 411, 191, 137, 989 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 559, 411, 191, 137, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,411,191,137,989

Given numbers are 559,411,191,137,989

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

The LCM of 559,411,191,137,989 is 1009287357.

Find LCM of 559,411,191,137,989 with Prime Factorization


43 559, 411, 191, 137, 989
137 13, 411, 191, 137, 23
13, 3, 191, 1, 23

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

43 x 137 x 13 x 3 x 191 x 1 x 23 = 1009287357

Therefore, the lowest common multiple of 559,411,191,137,989 is 1009287357.

LCM Formula to Find Lowest Common Multiple of 559,411,191,137,989

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.

559 x 411 x 191 x 137 x 989 = 5945711820087

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.

559 : 1, 13, 43, 559

411 : 1, 3, 137, 411

191 : 1, 191

137 : 1, 137

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,411,191,137,989, is 1.

Now, the common factors can be found like this.

559:13x 43

411:3x 137

191:191

137:137

989:23x 43

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

43x 137 = 5891

Therefore, the value for common factors is 5891.

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 = 5945711820087/(1x5891)

LCM = 5945711820087/5891

LCM = 1009287357

Thus, we can understand that the LCM of 559,411,191,137,989 is 1009287357.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 411, 191, 137, 989

1. What is the LCM of 559, 411, 191, 137, 989?

Answer: LCM of 559, 411, 191, 137, 989 is 1009287357.

2. How to calculate the LCM of 559, 411, 191, 137, 989?

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 559, 411, 191, 137, 989.

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}.