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 334, 413, 391, 760, 522

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


Find the LCM of 334, 413, 391, 760, 522 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 334, 413, 391, 760, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,413,391,760,522

Given numbers are 334,413,391,760,522

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

The LCM of 334,413,391,760,522 is 5349305235960.

Find LCM of 334,413,391,760,522 with Prime Factorization


2 334, 413, 391, 760, 522
167, 413, 391, 380, 261

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

2 x 167 x 413 x 391 x 380 x 261 = 5349305235960

Therefore, the lowest common multiple of 334,413,391,760,522 is 5349305235960.

LCM Formula to Find Lowest Common Multiple of 334,413,391,760,522

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.

334 x 413 x 391 x 760 x 522 = 21397220943840

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.

334 : 1, 2, 167, 334

413 : 1, 7, 59, 413

391 : 1, 17, 23, 391

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,413,391,760,522, is 1.

Now, the common factors can be found like this.

334:2x 167

413:7x 59

391:17x 23

760:2x 2x 2x 5x 19

522:2x 3x 3x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21397220943840/(1x4)

LCM = 21397220943840/4

LCM = 5349305235960

Thus, we can understand that the LCM of 334,413,391,760,522 is 5349305235960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 413, 391, 760, 522

1. What is the LCM of 334, 413, 391, 760, 522?

Answer: LCM of 334, 413, 391, 760, 522 is 5349305235960.

2. How to calculate the LCM of 334, 413, 391, 760, 522?

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 334, 413, 391, 760, 522.

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}.