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LCM of 209, 899, 798, 333

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


Find the LCM of 209, 899, 798, 333 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, 899, 798, 333. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,899,798,333

Given numbers are 209,899,798,333

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

The LCM of 209,899,798,333 is 875947842.

Find LCM of 209,899,798,333 with Prime Factorization


3 209, 899, 798, 333
19 209, 899, 266, 111
11, 899, 14, 111

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

3 x 19 x 11 x 899 x 14 x 111 = 875947842

Therefore, the lowest common multiple of 209,899,798,333 is 875947842.

LCM Formula to Find Lowest Common Multiple of 209,899,798,333

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 899 x 798 x 333 = 49929026994

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

899 : 1, 29, 31, 899

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

333 : 1, 3, 9, 37, 111, 333

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,899,798,333, is 1.

Now, the common factors can be found like this.

209:11x 19

899:29x 31

798:2x 3x 7x 19

333:3x 3x 37

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 49929026994/(1x57)

LCM = 49929026994/57

LCM = 875947842

Thus, we can understand that the LCM of 209,899,798,333 is 875947842.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 899, 798, 333

1. What is the LCM of 209, 899, 798, 333?

Answer: LCM of 209, 899, 798, 333 is 875947842.

2. How to calculate the LCM of 209, 899, 798, 333?

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, 899, 798, 333.

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}.