LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 180, 203, 109, 327

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


Find the LCM of 180, 203, 109, 327 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 180, 203, 109, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,203,109,327

Given numbers are 180,203,109,327

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

The LCM of 180,203,109,327 is 3982860.

Find LCM of 180,203,109,327 with Prime Factorization


3 180, 203, 109, 327
109 60, 203, 109, 109
60, 203, 1, 1

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

3 x 109 x 60 x 203 x 1 x 1 = 3982860

Therefore, the lowest common multiple of 180,203,109,327 is 3982860.

LCM Formula to Find Lowest Common Multiple of 180,203,109,327

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.

180 x 203 x 109 x 327 = 1302395220

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

203 : 1, 7, 29, 203

109 : 1, 109

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,203,109,327, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

203:7x 29

109:109

327:3x 109

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

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 1302395220/(1x327)

LCM = 1302395220/327

LCM = 3982860

Thus, we can understand that the LCM of 180,203,109,327 is 3982860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 203, 109, 327

1. What is the LCM of 180, 203, 109, 327?

Answer: LCM of 180, 203, 109, 327 is 3982860.

2. How to calculate the LCM of 180, 203, 109, 327?

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 180, 203, 109, 327.

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}.