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 572, 130, 209, 429

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


Find the LCM of 572, 130, 209, 429 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 572, 130, 209, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,130,209,429

Given numbers are 572,130,209,429

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

The LCM of 572,130,209,429 is 163020.

Find LCM of 572,130,209,429 with Prime Factorization


2 572, 130, 209, 429
11 286, 65, 209, 429
13 26, 65, 19, 39
2, 5, 19, 3

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

2 x 11 x 13 x 2 x 5 x 19 x 3 = 163020

Therefore, the lowest common multiple of 572,130,209,429 is 163020.

LCM Formula to Find Lowest Common Multiple of 572,130,209,429

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.

572 x 130 x 209 x 429 = 6667191960

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

130 : 1, 2, 5, 10, 13, 26, 65, 130

209 : 1, 11, 19, 209

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,130,209,429, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

130:2x 5x 13

209:11x 19

429:3x 11x 13

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

2x 11x 11x 13x 13 = 40898

Therefore, the value for common factors is 40898.

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 = 6667191960/(1x40898)

LCM = 6667191960/40898

LCM = 163020

Thus, we can understand that the LCM of 572,130,209,429 is 163020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 130, 209, 429

1. What is the LCM of 572, 130, 209, 429?

Answer: LCM of 572, 130, 209, 429 is 163020.

2. How to calculate the LCM of 572, 130, 209, 429?

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 572, 130, 209, 429.

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}.