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LCM of 467, 501, 938, 454

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


Find the LCM of 467, 501, 938, 454 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, 501, 938, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,501,938,454

Given numbers are 467,501,938,454

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

The LCM of 467,501,938,454 is 49817657442.

Find LCM of 467,501,938,454 with Prime Factorization


2 467, 501, 938, 454
467, 501, 469, 227

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

2 x 467 x 501 x 469 x 227 = 49817657442

Therefore, the lowest common multiple of 467,501,938,454 is 49817657442.

LCM Formula to Find Lowest Common Multiple of 467,501,938,454

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 501 x 938 x 454 = 99635314884

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

501 : 1, 3, 167, 501

938 : 1, 2, 7, 14, 67, 134, 469, 938

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,501,938,454, is 1.

Now, the common factors can be found like this.

467:467

501:3x 167

938:2x 7x 67

454:2x 227

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 = 99635314884/(1x2)

LCM = 99635314884/2

LCM = 49817657442

Thus, we can understand that the LCM of 467,501,938,454 is 49817657442.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 501, 938, 454

1. What is the LCM of 467, 501, 938, 454?

Answer: LCM of 467, 501, 938, 454 is 49817657442.

2. How to calculate the LCM of 467, 501, 938, 454?

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, 501, 938, 454.

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}.