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LCM of 415, 445, 782, 794

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


Find the LCM of 415, 445, 782, 794 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 415, 445, 782, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,445,782,794

Given numbers are 415,445,782,794

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

The LCM of 415,445,782,794 is 11466618490.

Find LCM of 415,445,782,794 with Prime Factorization


2 415, 445, 782, 794
5 415, 445, 391, 397
83, 89, 391, 397

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

2 x 5 x 83 x 89 x 391 x 397 = 11466618490

Therefore, the lowest common multiple of 415,445,782,794 is 11466618490.

LCM Formula to Find Lowest Common Multiple of 415,445,782,794

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.

415 x 445 x 782 x 794 = 114666184900

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.

415 : 1, 5, 83, 415

445 : 1, 5, 89, 445

782 : 1, 2, 17, 23, 34, 46, 391, 782

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,445,782,794, is 1.

Now, the common factors can be found like this.

415:5x 83

445:5x 89

782:2x 17x 23

794:2x 397

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 114666184900/(1x10)

LCM = 114666184900/10

LCM = 11466618490

Thus, we can understand that the LCM of 415,445,782,794 is 11466618490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 445, 782, 794

1. What is the LCM of 415, 445, 782, 794?

Answer: LCM of 415, 445, 782, 794 is 11466618490.

2. How to calculate the LCM of 415, 445, 782, 794?

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 415, 445, 782, 794.

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}.