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LCM of 199, 669, 108, 389, 239

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


Find the LCM of 199, 669, 108, 389, 239 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 199, 669, 108, 389, 239. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,669,108,389,239

Given numbers are 199,669,108,389,239

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

The LCM of 199,669,108,389,239 is 445583599236.

Find LCM of 199,669,108,389,239 with Prime Factorization


3 199, 669, 108, 389, 239
199, 223, 36, 389, 239

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

3 x 199 x 223 x 36 x 389 x 239 = 445583599236

Therefore, the lowest common multiple of 199,669,108,389,239 is 445583599236.

LCM Formula to Find Lowest Common Multiple of 199,669,108,389,239

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.

199 x 669 x 108 x 389 x 239 = 1336750797708

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.

199 : 1, 199

669 : 1, 3, 223, 669

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

389 : 1, 389

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,669,108,389,239, is 1.

Now, the common factors can be found like this.

199:199

669:3x 223

108:2x 2x 3x 3x 3

389:389

239:239

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

3 = 3

Therefore, the value for common factors is 3.

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 = 1336750797708/(1x3)

LCM = 1336750797708/3

LCM = 445583599236

Thus, we can understand that the LCM of 199,669,108,389,239 is 445583599236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 669, 108, 389, 239

1. What is the LCM of 199, 669, 108, 389, 239?

Answer: LCM of 199, 669, 108, 389, 239 is 445583599236.

2. How to calculate the LCM of 199, 669, 108, 389, 239?

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 199, 669, 108, 389, 239.

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}.