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LCM of 598, 479, 467, 609, 764

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


Find the LCM of 598, 479, 467, 609, 764 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 598, 479, 467, 609, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,479,467,609,764

Given numbers are 598,479,467,609,764

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

The LCM of 598,479,467,609,764 is 31119616296132.

Find LCM of 598,479,467,609,764 with Prime Factorization


2 598, 479, 467, 609, 764
299, 479, 467, 609, 382

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

2 x 299 x 479 x 467 x 609 x 382 = 31119616296132

Therefore, the lowest common multiple of 598,479,467,609,764 is 31119616296132.

LCM Formula to Find Lowest Common Multiple of 598,479,467,609,764

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.

598 x 479 x 467 x 609 x 764 = 62239232592264

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

479 : 1, 479

467 : 1, 467

609 : 1, 3, 7, 21, 29, 87, 203, 609

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,479,467,609,764, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

479:479

467:467

609:3x 7x 29

764:2x 2x 191

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

2 = 2

Therefore, the value for common factors is 2.

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 = 62239232592264/(1x2)

LCM = 62239232592264/2

LCM = 31119616296132

Thus, we can understand that the LCM of 598,479,467,609,764 is 31119616296132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 479, 467, 609, 764

1. What is the LCM of 598, 479, 467, 609, 764?

Answer: LCM of 598, 479, 467, 609, 764 is 31119616296132.

2. How to calculate the LCM of 598, 479, 467, 609, 764?

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 598, 479, 467, 609, 764.

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}.