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LCM of 309, 189, 199, 903

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


Find the LCM of 309, 189, 199, 903 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 309, 189, 199, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,189,199,903

Given numbers are 309,189,199,903

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

The LCM of 309,189,199,903 is 166579119.

Find LCM of 309,189,199,903 with Prime Factorization


3 309, 189, 199, 903
7 103, 63, 199, 301
103, 9, 199, 43

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

3 x 7 x 103 x 9 x 199 x 43 = 166579119

Therefore, the lowest common multiple of 309,189,199,903 is 166579119.

LCM Formula to Find Lowest Common Multiple of 309,189,199,903

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.

309 x 189 x 199 x 903 = 10494484497

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.

309 : 1, 3, 103, 309

189 : 1, 3, 7, 9, 21, 27, 63, 189

199 : 1, 199

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,189,199,903, is 1.

Now, the common factors can be found like this.

309:3x 103

189:3x 3x 3x 7

199:199

903:3x 7x 43

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

3x 3x 7 = 63

Therefore, the value for common factors is 63.

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 = 10494484497/(1x63)

LCM = 10494484497/63

LCM = 166579119

Thus, we can understand that the LCM of 309,189,199,903 is 166579119.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 189, 199, 903

1. What is the LCM of 309, 189, 199, 903?

Answer: LCM of 309, 189, 199, 903 is 166579119.

2. How to calculate the LCM of 309, 189, 199, 903?

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 309, 189, 199, 903.

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}.