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LCM of 809, 845, 221, 183

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


Find the LCM of 809, 845, 221, 183 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 809, 845, 221, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,845,221,183

Given numbers are 809,845,221,183

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

The LCM of 809,845,221,183 is 2126695155.

Find LCM of 809,845,221,183 with Prime Factorization


13 809, 845, 221, 183
809, 65, 17, 183

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

13 x 809 x 65 x 17 x 183 = 2126695155

Therefore, the lowest common multiple of 809,845,221,183 is 2126695155.

LCM Formula to Find Lowest Common Multiple of 809,845,221,183

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.

809 x 845 x 221 x 183 = 27647037015

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.

809 : 1, 809

845 : 1, 5, 13, 65, 169, 845

221 : 1, 13, 17, 221

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,845,221,183, is 1.

Now, the common factors can be found like this.

809:809

845:5x 13x 13

221:13x 17

183:3x 61

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 = 27647037015/(1x13)

LCM = 27647037015/13

LCM = 2126695155

Thus, we can understand that the LCM of 809,845,221,183 is 2126695155.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 845, 221, 183

1. What is the LCM of 809, 845, 221, 183?

Answer: LCM of 809, 845, 221, 183 is 2126695155.

2. How to calculate the LCM of 809, 845, 221, 183?

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 809, 845, 221, 183.

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}.