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LCM of 398, 869, 869, 751, 209

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


Find the LCM of 398, 869, 869, 751, 209 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 398, 869, 869, 751, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,869,869,751,209

Given numbers are 398,869,869,751,209

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

The LCM of 398,869,869,751,209 is 4935104878.

Find LCM of 398,869,869,751,209 with Prime Factorization


11 398, 869, 869, 751, 209
79 398, 79, 79, 751, 19
398, 1, 1, 751, 19

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

11 x 79 x 398 x 1 x 1 x 751 x 19 = 4935104878

Therefore, the lowest common multiple of 398,869,869,751,209 is 4935104878.

LCM Formula to Find Lowest Common Multiple of 398,869,869,751,209

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.

398 x 869 x 869 x 751 x 209 = 47174667528802

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.

398 : 1, 2, 199, 398

869 : 1, 11, 79, 869

869 : 1, 11, 79, 869

751 : 1, 751

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,869,869,751,209, is 1.

Now, the common factors can be found like this.

398:2x 199

869:11x 79

869:11x 79

751:751

209:11x 19

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

11x 11x 79 = 9559

Therefore, the value for common factors is 9559.

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 = 47174667528802/(1x9559)

LCM = 47174667528802/9559

LCM = 4935104878

Thus, we can understand that the LCM of 398,869,869,751,209 is 4935104878.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 869, 869, 751, 209

1. What is the LCM of 398, 869, 869, 751, 209?

Answer: LCM of 398, 869, 869, 751, 209 is 4935104878.

2. How to calculate the LCM of 398, 869, 869, 751, 209?

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 398, 869, 869, 751, 209.

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}.