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LCM of 448, 514, 886, 479

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


Find the LCM of 448, 514, 886, 479 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 448, 514, 886, 479. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,514,886,479

Given numbers are 448,514,886,479

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

The LCM of 448,514,886,479 is 24431513792.

Find LCM of 448,514,886,479 with Prime Factorization


2 448, 514, 886, 479
224, 257, 443, 479

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

2 x 224 x 257 x 443 x 479 = 24431513792

Therefore, the lowest common multiple of 448,514,886,479 is 24431513792.

LCM Formula to Find Lowest Common Multiple of 448,514,886,479

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.

448 x 514 x 886 x 479 = 97726055168

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

514 : 1, 2, 257, 514

886 : 1, 2, 443, 886

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,514,886,479, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

514:2x 257

886:2x 443

479:479

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 97726055168/(1x4)

LCM = 97726055168/4

LCM = 24431513792

Thus, we can understand that the LCM of 448,514,886,479 is 24431513792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 514, 886, 479

1. What is the LCM of 448, 514, 886, 479?

Answer: LCM of 448, 514, 886, 479 is 24431513792.

2. How to calculate the LCM of 448, 514, 886, 479?

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 448, 514, 886, 479.

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}.