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LCM of 110, 539, 207, 209, 103

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


Find the LCM of 110, 539, 207, 209, 103 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 110, 539, 207, 209, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,539,207,209,103

Given numbers are 110,539,207,209,103

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

The LCM of 110,539,207,209,103 is 2183483610.

Find LCM of 110,539,207,209,103 with Prime Factorization


11 110, 539, 207, 209, 103
10, 49, 207, 19, 103

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

11 x 10 x 49 x 207 x 19 x 103 = 2183483610

Therefore, the lowest common multiple of 110,539,207,209,103 is 2183483610.

LCM Formula to Find Lowest Common Multiple of 110,539,207,209,103

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.

110 x 539 x 207 x 209 x 103 = 264201516810

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

539 : 1, 7, 11, 49, 77, 539

207 : 1, 3, 9, 23, 69, 207

209 : 1, 11, 19, 209

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,539,207,209,103, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

539:7x 7x 11

207:3x 3x 23

209:11x 19

103:103

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 264201516810/(1x121)

LCM = 264201516810/121

LCM = 2183483610

Thus, we can understand that the LCM of 110,539,207,209,103 is 2183483610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 539, 207, 209, 103

1. What is the LCM of 110, 539, 207, 209, 103?

Answer: LCM of 110, 539, 207, 209, 103 is 2183483610.

2. How to calculate the LCM of 110, 539, 207, 209, 103?

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 110, 539, 207, 209, 103.

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}.