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LCM of 792, 560, 296, 675, 882

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


Find the LCM of 792, 560, 296, 675, 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 792, 560, 296, 675, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,560,296,675,882

Given numbers are 792,560,296,675,882

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

The LCM of 792,560,296,675,882 is 215384400.

Find LCM of 792,560,296,675,882 with Prime Factorization


2 792, 560, 296, 675, 882
2 396, 280, 148, 675, 441
2 198, 140, 74, 675, 441
3 99, 70, 37, 675, 441
3 33, 70, 37, 225, 147
5 11, 70, 37, 75, 49
7 11, 14, 37, 15, 49
11, 2, 37, 15, 7

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

2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 2 x 37 x 15 x 7 = 215384400

Therefore, the lowest common multiple of 792,560,296,675,882 is 215384400.

LCM Formula to Find Lowest Common Multiple of 792,560,296,675,882

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.

792 x 560 x 296 x 675 x 882 = 78158691072000

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 792,560,296,675,882, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

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

296:2x 2x 2x 37

675:3x 3x 3x 5x 5

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 2x 2x 2x 2x 3x 3x 3x 3x 5x 7 = 362880

Therefore, the value for common factors is 362880.

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 = 78158691072000/(1x362880)

LCM = 78158691072000/362880

LCM = 215384400

Thus, we can understand that the LCM of 792,560,296,675,882 is 215384400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 560, 296, 675, 882

1. What is the LCM of 792, 560, 296, 675, 882?

Answer: LCM of 792, 560, 296, 675, 882 is 215384400.

2. How to calculate the LCM of 792, 560, 296, 675, 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 792, 560, 296, 675, 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}.