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LCM of 604, 493, 598, 191, 309

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


Find the LCM of 604, 493, 598, 191, 309 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 604, 493, 598, 191, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,493,598,191,309

Given numbers are 604,493,598,191,309

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

The LCM of 604,493,598,191,309 is 5254687494732.

Find LCM of 604,493,598,191,309 with Prime Factorization


2 604, 493, 598, 191, 309
302, 493, 299, 191, 309

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

2 x 302 x 493 x 299 x 191 x 309 = 5254687494732

Therefore, the lowest common multiple of 604,493,598,191,309 is 5254687494732.

LCM Formula to Find Lowest Common Multiple of 604,493,598,191,309

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.

604 x 493 x 598 x 191 x 309 = 10509374989464

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.

604 : 1, 2, 4, 151, 302, 604

493 : 1, 17, 29, 493

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

191 : 1, 191

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,493,598,191,309, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

493:17x 29

598:2x 13x 23

191:191

309:3x 103

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 = 10509374989464/(1x2)

LCM = 10509374989464/2

LCM = 5254687494732

Thus, we can understand that the LCM of 604,493,598,191,309 is 5254687494732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 493, 598, 191, 309

1. What is the LCM of 604, 493, 598, 191, 309?

Answer: LCM of 604, 493, 598, 191, 309 is 5254687494732.

2. How to calculate the LCM of 604, 493, 598, 191, 309?

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 604, 493, 598, 191, 309.

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}.