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LCM of 791, 280, 685, 452

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


Find the LCM of 791, 280, 685, 452 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 791, 280, 685, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,280,685,452

Given numbers are 791,280,685,452

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

The LCM of 791,280,685,452 is 4334680.

Find LCM of 791,280,685,452 with Prime Factorization


2 791, 280, 685, 452
2 791, 140, 685, 226
5 791, 70, 685, 113
7 791, 14, 137, 113
113 113, 2, 137, 113
1, 2, 137, 1

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

2 x 2 x 5 x 7 x 113 x 1 x 2 x 137 x 1 = 4334680

Therefore, the lowest common multiple of 791,280,685,452 is 4334680.

LCM Formula to Find Lowest Common Multiple of 791,280,685,452

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.

791 x 280 x 685 x 452 = 68574637600

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.

791 : 1, 7, 113, 791

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

685 : 1, 5, 137, 685

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,280,685,452, is 1.

Now, the common factors can be found like this.

791:7x 113

280:2x 2x 2x 5x 7

685:5x 137

452:2x 2x 113

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 7x 113 = 15820

Therefore, the value for common factors is 15820.

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 = 68574637600/(1x15820)

LCM = 68574637600/15820

LCM = 4334680

Thus, we can understand that the LCM of 791,280,685,452 is 4334680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 280, 685, 452

1. What is the LCM of 791, 280, 685, 452?

Answer: LCM of 791, 280, 685, 452 is 4334680.

2. How to calculate the LCM of 791, 280, 685, 452?

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 791, 280, 685, 452.

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}.