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LCM of 476, 560, 725, 882

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


Find the LCM of 476, 560, 725, 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 476, 560, 725, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,560,725,882

Given numbers are 476,560,725,882

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

The LCM of 476,560,725,882 is 86965200.

Find LCM of 476,560,725,882 with Prime Factorization


2 476, 560, 725, 882
2 238, 280, 725, 441
5 119, 140, 725, 441
7 119, 28, 145, 441
17, 4, 145, 63

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

2 x 2 x 5 x 7 x 17 x 4 x 145 x 63 = 86965200

Therefore, the lowest common multiple of 476,560,725,882 is 86965200.

LCM Formula to Find Lowest Common Multiple of 476,560,725,882

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.

476 x 560 x 725 x 882 = 170451792000

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

725 : 1, 5, 25, 29, 145, 725

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 476,560,725,882, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

560:2x 2x 2x 2x 5x 7

725:5x 5x 29

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 2x 5x 7x 7 = 1960

Therefore, the value for common factors is 1960.

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 = 170451792000/(1x1960)

LCM = 170451792000/1960

LCM = 86965200

Thus, we can understand that the LCM of 476,560,725,882 is 86965200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 560, 725, 882

1. What is the LCM of 476, 560, 725, 882?

Answer: LCM of 476, 560, 725, 882 is 86965200.

2. How to calculate the LCM of 476, 560, 725, 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 476, 560, 725, 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}.