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LCM of 598, 582, 135, 643

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


Find the LCM of 598, 582, 135, 643 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, 582, 135, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,582,135,643

Given numbers are 598,582,135,643

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

The LCM of 598,582,135,643 is 5035210830.

Find LCM of 598,582,135,643 with Prime Factorization


2 598, 582, 135, 643
3 299, 291, 135, 643
299, 97, 45, 643

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

2 x 3 x 299 x 97 x 45 x 643 = 5035210830

Therefore, the lowest common multiple of 598,582,135,643 is 5035210830.

LCM Formula to Find Lowest Common Multiple of 598,582,135,643

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 582 x 135 x 643 = 30211264980

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

135 : 1, 3, 5, 9, 15, 27, 45, 135

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,582,135,643, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

582:2x 3x 97

135:3x 3x 3x 5

643:643

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 30211264980/(1x6)

LCM = 30211264980/6

LCM = 5035210830

Thus, we can understand that the LCM of 598,582,135,643 is 5035210830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 582, 135, 643

1. What is the LCM of 598, 582, 135, 643?

Answer: LCM of 598, 582, 135, 643 is 5035210830.

2. How to calculate the LCM of 598, 582, 135, 643?

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, 582, 135, 643.

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}.