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LCM of 167, 327, 872, 585

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


Find the LCM of 167, 327, 872, 585 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 167, 327, 872, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,327,872,585

Given numbers are 167,327,872,585

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

The LCM of 167,327,872,585 is 85190040.

Find LCM of 167,327,872,585 with Prime Factorization


3 167, 327, 872, 585
109 167, 109, 872, 195
167, 1, 8, 195

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

3 x 109 x 167 x 1 x 8 x 195 = 85190040

Therefore, the lowest common multiple of 167,327,872,585 is 85190040.

LCM Formula to Find Lowest Common Multiple of 167,327,872,585

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.

167 x 327 x 872 x 585 = 27857143080

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.

167 : 1, 167

327 : 1, 3, 109, 327

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,327,872,585, is 1.

Now, the common factors can be found like this.

167:167

327:3x 109

872:2x 2x 2x 109

585:3x 3x 5x 13

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

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 27857143080/(1x327)

LCM = 27857143080/327

LCM = 85190040

Thus, we can understand that the LCM of 167,327,872,585 is 85190040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 327, 872, 585

1. What is the LCM of 167, 327, 872, 585?

Answer: LCM of 167, 327, 872, 585 is 85190040.

2. How to calculate the LCM of 167, 327, 872, 585?

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 167, 327, 872, 585.

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}.