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LCM of 439, 509, 106, 206

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


Find the LCM of 439, 509, 106, 206 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 439, 509, 106, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,509,106,206

Given numbers are 439,509,106,206

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

The LCM of 439,509,106,206 is 2439638018.

Find LCM of 439,509,106,206 with Prime Factorization


2 439, 509, 106, 206
439, 509, 53, 103

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

2 x 439 x 509 x 53 x 103 = 2439638018

Therefore, the lowest common multiple of 439,509,106,206 is 2439638018.

LCM Formula to Find Lowest Common Multiple of 439,509,106,206

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.

439 x 509 x 106 x 206 = 4879276036

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.

439 : 1, 439

509 : 1, 509

106 : 1, 2, 53, 106

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,509,106,206, is 1.

Now, the common factors can be found like this.

439:439

509:509

106:2x 53

206:2x 103

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4879276036/(1x2)

LCM = 4879276036/2

LCM = 2439638018

Thus, we can understand that the LCM of 439,509,106,206 is 2439638018.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 509, 106, 206

1. What is the LCM of 439, 509, 106, 206?

Answer: LCM of 439, 509, 106, 206 is 2439638018.

2. How to calculate the LCM of 439, 509, 106, 206?

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 439, 509, 106, 206.

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}.