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LCM of 794, 490, 475, 595, 920

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


Find the LCM of 794, 490, 475, 595, 920 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 794, 490, 475, 595, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,490,475,595,920

Given numbers are 794,490,475,595,920

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

The LCM of 794,490,475,595,920 is 28903267400.

Find LCM of 794,490,475,595,920 with Prime Factorization


2 794, 490, 475, 595, 920
5 397, 245, 475, 595, 460
7 397, 49, 95, 119, 92
397, 7, 95, 17, 92

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

2 x 5 x 7 x 397 x 7 x 95 x 17 x 92 = 28903267400

Therefore, the lowest common multiple of 794,490,475,595,920 is 28903267400.

LCM Formula to Find Lowest Common Multiple of 794,490,475,595,920

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.

794 x 490 x 475 x 595 x 920 = 101161435900000

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.

794 : 1, 2, 397, 794

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

475 : 1, 5, 19, 25, 95, 475

595 : 1, 5, 7, 17, 35, 85, 119, 595

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,490,475,595,920, is 1.

Now, the common factors can be found like this.

794:2x 397

490:2x 5x 7x 7

475:5x 5x 19

595:5x 7x 17

920:2x 2x 2x 5x 23

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 5x 5x 5x 7 = 3500

Therefore, the value for common factors is 3500.

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 = 101161435900000/(1x3500)

LCM = 101161435900000/3500

LCM = 28903267400

Thus, we can understand that the LCM of 794,490,475,595,920 is 28903267400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 490, 475, 595, 920

1. What is the LCM of 794, 490, 475, 595, 920?

Answer: LCM of 794, 490, 475, 595, 920 is 28903267400.

2. How to calculate the LCM of 794, 490, 475, 595, 920?

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 794, 490, 475, 595, 920.

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}.