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LCM of 782, 338, 559

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


Find the LCM of 782, 338, 559 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 782, 338, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 782,338,559

Given numbers are 782,338,559

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

The LCM of 782,338,559 is 5682794.

Find LCM of 782,338,559 with Prime Factorization


2 782, 338, 559
13 391, 169, 559
391, 13, 43

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

2 x 13 x 391 x 13 x 43 = 5682794

Therefore, the lowest common multiple of 782,338,559 is 5682794.

LCM Formula to Find Lowest Common Multiple of 782,338,559

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.

782 x 338 x 559 = 147752644

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.

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

338 : 1, 2, 13, 26, 169, 338

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,338,559, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

338:2x 13x 13

559:13x 43

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 147752644/(1x26)

LCM = 147752644/26

LCM = 5682794

Thus, we can understand that the LCM of 782,338,559 is 5682794.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 782, 338, 559

1. What is the LCM of 782, 338, 559?

Answer: LCM of 782, 338, 559 is 5682794.

2. How to calculate the LCM of 782, 338, 559?

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 782, 338, 559.

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}.