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LCM of 209, 195, 676, 373, 899

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


Find the LCM of 209, 195, 676, 373, 899 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, 195, 676, 373, 899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,195,676,373,899

Given numbers are 209,195,676,373,899

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

The LCM of 209,195,676,373,899 is 710645098020.

Find LCM of 209,195,676,373,899 with Prime Factorization


13 209, 195, 676, 373, 899
209, 15, 52, 373, 899

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

13 x 209 x 15 x 52 x 373 x 899 = 710645098020

Therefore, the lowest common multiple of 209,195,676,373,899 is 710645098020.

LCM Formula to Find Lowest Common Multiple of 209,195,676,373,899

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 195 x 676 x 373 x 899 = 9238386274260

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

373 : 1, 373

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,195,676,373,899, is 1.

Now, the common factors can be found like this.

209:11x 19

195:3x 5x 13

676:2x 2x 13x 13

373:373

899:29x 31

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

13 = 13

Therefore, the value for common factors is 13.

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 = 9238386274260/(1x13)

LCM = 9238386274260/13

LCM = 710645098020

Thus, we can understand that the LCM of 209,195,676,373,899 is 710645098020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 195, 676, 373, 899

1. What is the LCM of 209, 195, 676, 373, 899?

Answer: LCM of 209, 195, 676, 373, 899 is 710645098020.

2. How to calculate the LCM of 209, 195, 676, 373, 899?

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, 195, 676, 373, 899.

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}.