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LCM of 167, 209, 501, 206, 879

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


Find the LCM of 167, 209, 501, 206, 879 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, 209, 501, 206, 879. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,209,501,206,879

Given numbers are 167,209,501,206,879

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

The LCM of 167,209,501,206,879 is 6320025822.

Find LCM of 167,209,501,206,879 with Prime Factorization


3 167, 209, 501, 206, 879
167 167, 209, 167, 206, 293
1, 209, 1, 206, 293

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

3 x 167 x 1 x 209 x 1 x 206 x 293 = 6320025822

Therefore, the lowest common multiple of 167,209,501,206,879 is 6320025822.

LCM Formula to Find Lowest Common Multiple of 167,209,501,206,879

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 209 x 501 x 206 x 879 = 3166332936822

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

209 : 1, 11, 19, 209

501 : 1, 3, 167, 501

206 : 1, 2, 103, 206

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,209,501,206,879, is 1.

Now, the common factors can be found like this.

167:167

209:11x 19

501:3x 167

206:2x 103

879:3x 293

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

3x 167 = 501

Therefore, the value for common factors is 501.

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 = 3166332936822/(1x501)

LCM = 3166332936822/501

LCM = 6320025822

Thus, we can understand that the LCM of 167,209,501,206,879 is 6320025822.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 209, 501, 206, 879

1. What is the LCM of 167, 209, 501, 206, 879?

Answer: LCM of 167, 209, 501, 206, 879 is 6320025822.

2. How to calculate the LCM of 167, 209, 501, 206, 879?

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, 209, 501, 206, 879.

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}.