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LCM of 138, 104, 559, 805

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


Find the LCM of 138, 104, 559, 805 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 138, 104, 559, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 138,104,559,805

Given numbers are 138,104,559,805

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

The LCM of 138,104,559,805 is 10799880.

Find LCM of 138,104,559,805 with Prime Factorization


2 138, 104, 559, 805
13 69, 52, 559, 805
23 69, 4, 43, 805
3, 4, 43, 35

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

2 x 13 x 23 x 3 x 4 x 43 x 35 = 10799880

Therefore, the lowest common multiple of 138,104,559,805 is 10799880.

LCM Formula to Find Lowest Common Multiple of 138,104,559,805

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.

138 x 104 x 559 x 805 = 6458328240

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

104 : 1, 2, 4, 8, 13, 26, 52, 104

559 : 1, 13, 43, 559

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,104,559,805, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

104:2x 2x 2x 13

559:13x 43

805:5x 7x 23

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

2x 13x 23 = 598

Therefore, the value for common factors is 598.

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 = 6458328240/(1x598)

LCM = 6458328240/598

LCM = 10799880

Thus, we can understand that the LCM of 138,104,559,805 is 10799880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 138, 104, 559, 805

1. What is the LCM of 138, 104, 559, 805?

Answer: LCM of 138, 104, 559, 805 is 10799880.

2. How to calculate the LCM of 138, 104, 559, 805?

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 138, 104, 559, 805.

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}.