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LCM of 572, 379, 801, 247, 429

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


Find the LCM of 572, 379, 801, 247, 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, 379, 801, 247, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,379,801,247,429

Given numbers are 572,379,801,247,429

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

The LCM of 572,379,801,247,429 is 3299296572.

Find LCM of 572,379,801,247,429 with Prime Factorization


3 572, 379, 801, 247, 429
11 572, 379, 267, 247, 143
13 52, 379, 267, 247, 13
4, 379, 267, 19, 1

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

3 x 11 x 13 x 4 x 379 x 267 x 19 x 1 = 3299296572

Therefore, the lowest common multiple of 572,379,801,247,429 is 3299296572.

LCM Formula to Find Lowest Common Multiple of 572,379,801,247,429

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 379 x 801 x 247 x 429 = 18400176982044

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

379 : 1, 379

801 : 1, 3, 9, 89, 267, 801

247 : 1, 13, 19, 247

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 572,379,801,247,429, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

379:379

801:3x 3x 89

247:13x 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.

3x 11x 13x 13 = 5577

Therefore, the value for common factors is 5577.

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 = 18400176982044/(1x5577)

LCM = 18400176982044/5577

LCM = 3299296572

Thus, we can understand that the LCM of 572,379,801,247,429 is 3299296572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 379, 801, 247, 429

1. What is the LCM of 572, 379, 801, 247, 429?

Answer: LCM of 572, 379, 801, 247, 429 is 3299296572.

2. How to calculate the LCM of 572, 379, 801, 247, 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, 379, 801, 247, 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}.