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LCM of 604, 591, 446, 958

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


Find the LCM of 604, 591, 446, 958 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, 591, 446, 958. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,591,446,958

Given numbers are 604,591,446,958

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

The LCM of 604,591,446,958 is 38129823588.

Find LCM of 604,591,446,958 with Prime Factorization


2 604, 591, 446, 958
302, 591, 223, 479

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

2 x 302 x 591 x 223 x 479 = 38129823588

Therefore, the lowest common multiple of 604,591,446,958 is 38129823588.

LCM Formula to Find Lowest Common Multiple of 604,591,446,958

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 591 x 446 x 958 = 152519294352

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

591 : 1, 3, 197, 591

446 : 1, 2, 223, 446

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,591,446,958, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

591:3x 197

446:2x 223

958:2x 479

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 = 152519294352/(1x4)

LCM = 152519294352/4

LCM = 38129823588

Thus, we can understand that the LCM of 604,591,446,958 is 38129823588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 591, 446, 958

1. What is the LCM of 604, 591, 446, 958?

Answer: LCM of 604, 591, 446, 958 is 38129823588.

2. How to calculate the LCM of 604, 591, 446, 958?

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, 591, 446, 958.

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}.