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LCM of 306, 505, 189, 191

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


Find the LCM of 306, 505, 189, 191 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 306, 505, 189, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,505,189,191

Given numbers are 306,505,189,191

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

The LCM of 306,505,189,191 is 619819830.

Find LCM of 306,505,189,191 with Prime Factorization


3 306, 505, 189, 191
3 102, 505, 63, 191
34, 505, 21, 191

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

3 x 3 x 34 x 505 x 21 x 191 = 619819830

Therefore, the lowest common multiple of 306,505,189,191 is 619819830.

LCM Formula to Find Lowest Common Multiple of 306,505,189,191

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.

306 x 505 x 189 x 191 = 5578378470

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

505 : 1, 5, 101, 505

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

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,505,189,191, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

505:5x 101

189:3x 3x 3x 7

191:191

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 5578378470/(1x9)

LCM = 5578378470/9

LCM = 619819830

Thus, we can understand that the LCM of 306,505,189,191 is 619819830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 505, 189, 191

1. What is the LCM of 306, 505, 189, 191?

Answer: LCM of 306, 505, 189, 191 is 619819830.

2. How to calculate the LCM of 306, 505, 189, 191?

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 306, 505, 189, 191.

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}.