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LCM of 332, 798, 566, 770, 518

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


Find the LCM of 332, 798, 566, 770, 518 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 332, 798, 566, 770, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 332,798,566,770,518

Given numbers are 332,798,566,770,518

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

The LCM of 332,798,566,770,518 is 76288983540.

Find LCM of 332,798,566,770,518 with Prime Factorization


2 332, 798, 566, 770, 518
7 166, 399, 283, 385, 259
166, 57, 283, 55, 37

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

2 x 7 x 166 x 57 x 283 x 55 x 37 = 76288983540

Therefore, the lowest common multiple of 332,798,566,770,518 is 76288983540.

LCM Formula to Find Lowest Common Multiple of 332,798,566,770,518

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.

332 x 798 x 566 x 770 x 518 = 59810563095360

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.

332 : 1, 2, 4, 83, 166, 332

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

566 : 1, 2, 283, 566

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

518 : 1, 2, 7, 14, 37, 74, 259, 518

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,798,566,770,518, is 2.

Now, the common factors can be found like this.

332:2x 2x 83

798:2x 3x 7x 19

566:2x 283

770:2x 5x 7x 11

518:2x 7x 37

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 59810563095360/(2x392)

LCM = 59810563095360/784

LCM = 76288983540

Thus, we can understand that the LCM of 332,798,566,770,518 is 76288983540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 332, 798, 566, 770, 518

1. What is the LCM of 332, 798, 566, 770, 518?

Answer: LCM of 332, 798, 566, 770, 518 is 76288983540.

2. How to calculate the LCM of 332, 798, 566, 770, 518?

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 332, 798, 566, 770, 518.

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}.