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LCM of 471, 925, 745, 928, 443

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


Find the LCM of 471, 925, 745, 928, 443 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 471, 925, 745, 928, 443. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,925,745,928,443

Given numbers are 471,925,745,928,443

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

The LCM of 471,925,745,928,443 is 26687052544800.

Find LCM of 471,925,745,928,443 with Prime Factorization


5 471, 925, 745, 928, 443
471, 185, 149, 928, 443

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

5 x 471 x 185 x 149 x 928 x 443 = 26687052544800

Therefore, the lowest common multiple of 471,925,745,928,443 is 26687052544800.

LCM Formula to Find Lowest Common Multiple of 471,925,745,928,443

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.

471 x 925 x 745 x 928 x 443 = 133435262724000

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.

471 : 1, 3, 157, 471

925 : 1, 5, 25, 37, 185, 925

745 : 1, 5, 149, 745

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,925,745,928,443, is 1.

Now, the common factors can be found like this.

471:3x 157

925:5x 5x 37

745:5x 149

928:2x 2x 2x 2x 2x 29

443:443

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

5 = 5

Therefore, the value for common factors is 5.

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 = 133435262724000/(1x5)

LCM = 133435262724000/5

LCM = 26687052544800

Thus, we can understand that the LCM of 471,925,745,928,443 is 26687052544800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 471, 925, 745, 928, 443

1. What is the LCM of 471, 925, 745, 928, 443?

Answer: LCM of 471, 925, 745, 928, 443 is 26687052544800.

2. How to calculate the LCM of 471, 925, 745, 928, 443?

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 471, 925, 745, 928, 443.

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}.