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LCM of 470, 531, 996, 323

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


Find the LCM of 470, 531, 996, 323 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 470, 531, 996, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,531,996,323

Given numbers are 470,531,996,323

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

The LCM of 470,531,996,323 is 13381444260.

Find LCM of 470,531,996,323 with Prime Factorization


2 470, 531, 996, 323
3 235, 531, 498, 323
235, 177, 166, 323

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

2 x 3 x 235 x 177 x 166 x 323 = 13381444260

Therefore, the lowest common multiple of 470,531,996,323 is 13381444260.

LCM Formula to Find Lowest Common Multiple of 470,531,996,323

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.

470 x 531 x 996 x 323 = 80288665560

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,531,996,323, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

531:3x 3x 59

996:2x 2x 3x 83

323:17x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 80288665560/(1x6)

LCM = 80288665560/6

LCM = 13381444260

Thus, we can understand that the LCM of 470,531,996,323 is 13381444260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 531, 996, 323

1. What is the LCM of 470, 531, 996, 323?

Answer: LCM of 470, 531, 996, 323 is 13381444260.

2. How to calculate the LCM of 470, 531, 996, 323?

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 470, 531, 996, 323.

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}.