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LCM of 864, 448, 275, 508

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


Find the LCM of 864, 448, 275, 508 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 864, 448, 275, 508. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,448,275,508

Given numbers are 864,448,275,508

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

The LCM of 864,448,275,508 is 422452800.

Find LCM of 864,448,275,508 with Prime Factorization


2 864, 448, 275, 508
2 432, 224, 275, 254
2 216, 112, 275, 127
2 108, 56, 275, 127
2 54, 28, 275, 127
27, 14, 275, 127

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

2 x 2 x 2 x 2 x 2 x 27 x 14 x 275 x 127 = 422452800

Therefore, the lowest common multiple of 864,448,275,508 is 422452800.

LCM Formula to Find Lowest Common Multiple of 864,448,275,508

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.

864 x 448 x 275 x 508 = 54073958400

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

275 : 1, 5, 11, 25, 55, 275

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,448,275,508, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

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

275:5x 5x 11

508:2x 2x 127

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

2x 2x 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 54073958400/(1x128)

LCM = 54073958400/128

LCM = 422452800

Thus, we can understand that the LCM of 864,448,275,508 is 422452800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 448, 275, 508

1. What is the LCM of 864, 448, 275, 508?

Answer: LCM of 864, 448, 275, 508 is 422452800.

2. How to calculate the LCM of 864, 448, 275, 508?

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 864, 448, 275, 508.

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}.