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LCM of 582, 382, 818, 839

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


Find the LCM of 582, 382, 818, 839 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 582, 382, 818, 839. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,382,818,839

Given numbers are 582,382,818,839

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

The LCM of 582,382,818,839 is 38145351462.

Find LCM of 582,382,818,839 with Prime Factorization


2 582, 382, 818, 839
291, 191, 409, 839

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

2 x 291 x 191 x 409 x 839 = 38145351462

Therefore, the lowest common multiple of 582,382,818,839 is 38145351462.

LCM Formula to Find Lowest Common Multiple of 582,382,818,839

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.

582 x 382 x 818 x 839 = 152581405848

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

382 : 1, 2, 191, 382

818 : 1, 2, 409, 818

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,382,818,839, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

382:2x 191

818:2x 409

839:839

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 152581405848/(1x4)

LCM = 152581405848/4

LCM = 38145351462

Thus, we can understand that the LCM of 582,382,818,839 is 38145351462.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 382, 818, 839

1. What is the LCM of 582, 382, 818, 839?

Answer: LCM of 582, 382, 818, 839 is 38145351462.

2. How to calculate the LCM of 582, 382, 818, 839?

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 582, 382, 818, 839.

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}.