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LCM of 574, 419, 419, 467

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


Find the LCM of 574, 419, 419, 467 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 574, 419, 419, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,419,419,467

Given numbers are 574,419,419,467

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

The LCM of 574,419,419,467 is 112316302.

Find LCM of 574,419,419,467 with Prime Factorization


419 574, 419, 419, 467
574, 1, 1, 467

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

419 x 574 x 1 x 1 x 467 = 112316302

Therefore, the lowest common multiple of 574,419,419,467 is 112316302.

LCM Formula to Find Lowest Common Multiple of 574,419,419,467

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.

574 x 419 x 419 x 467 = 47060530538

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

419 : 1, 419

419 : 1, 419

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,419,419,467, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

419:419

419:419

467:467

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

419 = 419

Therefore, the value for common factors is 419.

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 = 47060530538/(1x419)

LCM = 47060530538/419

LCM = 112316302

Thus, we can understand that the LCM of 574,419,419,467 is 112316302.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 419, 419, 467

1. What is the LCM of 574, 419, 419, 467?

Answer: LCM of 574, 419, 419, 467 is 112316302.

2. How to calculate the LCM of 574, 419, 419, 467?

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 574, 419, 419, 467.

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}.