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LCM of 467, 445, 445, 493

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


Find the LCM of 467, 445, 445, 493 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 467, 445, 445, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,445,445,493

Given numbers are 467,445,445,493

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

The LCM of 467,445,445,493 is 102452795.

Find LCM of 467,445,445,493 with Prime Factorization


5 467, 445, 445, 493
89 467, 89, 89, 493
467, 1, 1, 493

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

5 x 89 x 467 x 1 x 1 x 493 = 102452795

Therefore, the lowest common multiple of 467,445,445,493 is 102452795.

LCM Formula to Find Lowest Common Multiple of 467,445,445,493

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.

467 x 445 x 445 x 493 = 45591493775

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.

467 : 1, 467

445 : 1, 5, 89, 445

445 : 1, 5, 89, 445

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,445,445,493, is 1.

Now, the common factors can be found like this.

467:467

445:5x 89

445:5x 89

493:17x 29

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

5x 89 = 445

Therefore, the value for common factors is 445.

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 = 45591493775/(1x445)

LCM = 45591493775/445

LCM = 102452795

Thus, we can understand that the LCM of 467,445,445,493 is 102452795.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 445, 445, 493

1. What is the LCM of 467, 445, 445, 493?

Answer: LCM of 467, 445, 445, 493 is 102452795.

2. How to calculate the LCM of 467, 445, 445, 493?

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 467, 445, 445, 493.

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}.