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 867, 140, 309, 579

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


Find the LCM of 867, 140, 309, 579 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 867, 140, 309, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,140,309,579

Given numbers are 867,140,309,579

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

The LCM of 867,140,309,579 is 2412913020.

Find LCM of 867,140,309,579 with Prime Factorization


3 867, 140, 309, 579
289, 140, 103, 193

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

3 x 289 x 140 x 103 x 193 = 2412913020

Therefore, the lowest common multiple of 867,140,309,579 is 2412913020.

LCM Formula to Find Lowest Common Multiple of 867,140,309,579

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.

867 x 140 x 309 x 579 = 21716217180

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.

867 : 1, 3, 17, 51, 289, 867

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

309 : 1, 3, 103, 309

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,140,309,579, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

140:2x 2x 5x 7

309:3x 103

579:3x 193

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 = 21716217180/(1x9)

LCM = 21716217180/9

LCM = 2412913020

Thus, we can understand that the LCM of 867,140,309,579 is 2412913020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 140, 309, 579

1. What is the LCM of 867, 140, 309, 579?

Answer: LCM of 867, 140, 309, 579 is 2412913020.

2. How to calculate the LCM of 867, 140, 309, 579?

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 867, 140, 309, 579.

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}.