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LCM of 323, 104, 493, 959, 531

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


Find the LCM of 323, 104, 493, 959, 531 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 323, 104, 493, 959, 531. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,104,493,959,531

Given numbers are 323,104,493,959,531

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

The LCM of 323,104,493,959,531 is 496074596472.

Find LCM of 323,104,493,959,531 with Prime Factorization


17 323, 104, 493, 959, 531
19, 104, 29, 959, 531

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

17 x 19 x 104 x 29 x 959 x 531 = 496074596472

Therefore, the lowest common multiple of 323,104,493,959,531 is 496074596472.

LCM Formula to Find Lowest Common Multiple of 323,104,493,959,531

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.

323 x 104 x 493 x 959 x 531 = 8433268140024

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.

323 : 1, 17, 19, 323

104 : 1, 2, 4, 8, 13, 26, 52, 104

493 : 1, 17, 29, 493

959 : 1, 7, 137, 959

531 : 1, 3, 9, 59, 177, 531

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,104,493,959,531, is 1.

Now, the common factors can be found like this.

323:17x 19

104:2x 2x 2x 13

493:17x 29

959:7x 137

531:3x 3x 59

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

17 = 17

Therefore, the value for common factors is 17.

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 = 8433268140024/(1x17)

LCM = 8433268140024/17

LCM = 496074596472

Thus, we can understand that the LCM of 323,104,493,959,531 is 496074596472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 104, 493, 959, 531

1. What is the LCM of 323, 104, 493, 959, 531?

Answer: LCM of 323, 104, 493, 959, 531 is 496074596472.

2. How to calculate the LCM of 323, 104, 493, 959, 531?

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 323, 104, 493, 959, 531.

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}.