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LCM of 319, 506, 241, 479, 590

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


Find the LCM of 319, 506, 241, 479, 590 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 319, 506, 241, 479, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,506,241,479,590

Given numbers are 319,506,241,479,590

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

The LCM of 319,506,241,479,590 is 499715806370.

Find LCM of 319,506,241,479,590 with Prime Factorization


2 319, 506, 241, 479, 590
11 319, 253, 241, 479, 295
29, 23, 241, 479, 295

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

2 x 11 x 29 x 23 x 241 x 479 x 295 = 499715806370

Therefore, the lowest common multiple of 319,506,241,479,590 is 499715806370.

LCM Formula to Find Lowest Common Multiple of 319,506,241,479,590

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.

319 x 506 x 241 x 479 x 590 = 10993747740140

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.

319 : 1, 11, 29, 319

506 : 1, 2, 11, 22, 23, 46, 253, 506

241 : 1, 241

479 : 1, 479

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,506,241,479,590, is 1.

Now, the common factors can be found like this.

319:11x 29

506:2x 11x 23

241:241

479:479

590:2x 5x 59

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 10993747740140/(1x22)

LCM = 10993747740140/22

LCM = 499715806370

Thus, we can understand that the LCM of 319,506,241,479,590 is 499715806370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 506, 241, 479, 590

1. What is the LCM of 319, 506, 241, 479, 590?

Answer: LCM of 319, 506, 241, 479, 590 is 499715806370.

2. How to calculate the LCM of 319, 506, 241, 479, 590?

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 319, 506, 241, 479, 590.

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}.