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LCM of 182, 573, 448, 882

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


Find the LCM of 182, 573, 448, 882 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 182, 573, 448, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,573,448,882

Given numbers are 182,573,448,882

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

The LCM of 182,573,448,882 is 70080192.

Find LCM of 182,573,448,882 with Prime Factorization


2 182, 573, 448, 882
3 91, 573, 224, 441
7 91, 191, 224, 147
13, 191, 32, 21

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

2 x 3 x 7 x 13 x 191 x 32 x 21 = 70080192

Therefore, the lowest common multiple of 182,573,448,882 is 70080192.

LCM Formula to Find Lowest Common Multiple of 182,573,448,882

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.

182 x 573 x 448 x 882 = 41207152896

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

573 : 1, 3, 191, 573

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,573,448,882, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

573:3x 191

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

882:2x 3x 3x 7x 7

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 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 41207152896/(1x588)

LCM = 41207152896/588

LCM = 70080192

Thus, we can understand that the LCM of 182,573,448,882 is 70080192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 573, 448, 882

1. What is the LCM of 182, 573, 448, 882?

Answer: LCM of 182, 573, 448, 882 is 70080192.

2. How to calculate the LCM of 182, 573, 448, 882?

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 182, 573, 448, 882.

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}.