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LCM of 209, 869, 891, 102

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


Find the LCM of 209, 869, 891, 102 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 209, 869, 891, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,869,891,102

Given numbers are 209,869,891,102

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

The LCM of 209,869,891,102 is 45471294.

Find LCM of 209,869,891,102 with Prime Factorization


3 209, 869, 891, 102
11 209, 869, 297, 34
19, 79, 27, 34

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

3 x 11 x 19 x 79 x 27 x 34 = 45471294

Therefore, the lowest common multiple of 209,869,891,102 is 45471294.

LCM Formula to Find Lowest Common Multiple of 209,869,891,102

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.

209 x 869 x 891 x 102 = 16506079722

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.

209 : 1, 11, 19, 209

869 : 1, 11, 79, 869

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,869,891,102, is 1.

Now, the common factors can be found like this.

209:11x 19

869:11x 79

891:3x 3x 3x 3x 11

102:2x 3x 17

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 16506079722/(1x363)

LCM = 16506079722/363

LCM = 45471294

Thus, we can understand that the LCM of 209,869,891,102 is 45471294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 869, 891, 102

1. What is the LCM of 209, 869, 891, 102?

Answer: LCM of 209, 869, 891, 102 is 45471294.

2. How to calculate the LCM of 209, 869, 891, 102?

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 209, 869, 891, 102.

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}.