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LCM of 872, 876, 668, 133, 569

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


Find the LCM of 872, 876, 668, 133, 569 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 872, 876, 668, 133, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,876,668,133,569

Given numbers are 872,876,668,133,569

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

The LCM of 872,876,668,133,569 is 2413464851112.

Find LCM of 872,876,668,133,569 with Prime Factorization


2 872, 876, 668, 133, 569
2 436, 438, 334, 133, 569
218, 219, 167, 133, 569

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

2 x 2 x 218 x 219 x 167 x 133 x 569 = 2413464851112

Therefore, the lowest common multiple of 872,876,668,133,569 is 2413464851112.

LCM Formula to Find Lowest Common Multiple of 872,876,668,133,569

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.

872 x 876 x 668 x 133 x 569 = 38615437617792

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

668 : 1, 2, 4, 167, 334, 668

133 : 1, 7, 19, 133

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,876,668,133,569, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

876:2x 2x 3x 73

668:2x 2x 167

133:7x 19

569:569

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 38615437617792/(1x16)

LCM = 38615437617792/16

LCM = 2413464851112

Thus, we can understand that the LCM of 872,876,668,133,569 is 2413464851112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 876, 668, 133, 569

1. What is the LCM of 872, 876, 668, 133, 569?

Answer: LCM of 872, 876, 668, 133, 569 is 2413464851112.

2. How to calculate the LCM of 872, 876, 668, 133, 569?

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 872, 876, 668, 133, 569.

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}.