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LCM of 339, 481, 458, 458

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


Find the LCM of 339, 481, 458, 458 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 339, 481, 458, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,481,458,458

Given numbers are 339,481,458,458

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

The LCM of 339,481,458,458 is 74681022.

Find LCM of 339,481,458,458 with Prime Factorization


2 339, 481, 458, 458
229 339, 481, 229, 229
339, 481, 1, 1

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

2 x 229 x 339 x 481 x 1 x 1 = 74681022

Therefore, the lowest common multiple of 339,481,458,458 is 74681022.

LCM Formula to Find Lowest Common Multiple of 339,481,458,458

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.

339 x 481 x 458 x 458 = 34203908076

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.

339 : 1, 3, 113, 339

481 : 1, 13, 37, 481

458 : 1, 2, 229, 458

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,481,458,458, is 1.

Now, the common factors can be found like this.

339:3x 113

481:13x 37

458:2x 229

458:2x 229

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 34203908076/(1x458)

LCM = 34203908076/458

LCM = 74681022

Thus, we can understand that the LCM of 339,481,458,458 is 74681022.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 481, 458, 458

1. What is the LCM of 339, 481, 458, 458?

Answer: LCM of 339, 481, 458, 458 is 74681022.

2. How to calculate the LCM of 339, 481, 458, 458?

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 339, 481, 458, 458.

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}.