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 570, 309, 206

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


Find the LCM of 570, 309, 206 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 570, 309, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,309,206

Given numbers are 570,309,206

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

The LCM of 570,309,206 is 58710.

Find LCM of 570,309,206 with Prime Factorization


2 570, 309, 206
3 285, 309, 103
103 95, 103, 103
95, 1, 1

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

2 x 3 x 103 x 95 x 1 x 1 = 58710

Therefore, the lowest common multiple of 570,309,206 is 58710.

LCM Formula to Find Lowest Common Multiple of 570,309,206

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.

570 x 309 x 206 = 36282780

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

309 : 1, 3, 103, 309

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,309,206, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

309:3x 103

206:2x 103

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

2x 3x 103 = 618

Therefore, the value for common factors is 618.

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 = 36282780/(1x618)

LCM = 36282780/618

LCM = 58710

Thus, we can understand that the LCM of 570,309,206 is 58710.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 570, 309, 206

1. What is the LCM of 570, 309, 206?

Answer: LCM of 570, 309, 206 is 58710.

2. How to calculate the LCM of 570, 309, 206?

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 570, 309, 206.

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}.