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LCM of 323, 311, 579, 551, 636

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


Find the LCM of 323, 311, 579, 551, 636 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, 311, 579, 551, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,311,579,551,636

Given numbers are 323,311,579,551,636

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

The LCM of 323,311,579,551,636 is 357581740476.

Find LCM of 323,311,579,551,636 with Prime Factorization


3 323, 311, 579, 551, 636
19 323, 311, 193, 551, 212
17, 311, 193, 29, 212

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

3 x 19 x 17 x 311 x 193 x 29 x 212 = 357581740476

Therefore, the lowest common multiple of 323,311,579,551,636 is 357581740476.

LCM Formula to Find Lowest Common Multiple of 323,311,579,551,636

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 311 x 579 x 551 x 636 = 20382159207132

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

311 : 1, 311

579 : 1, 3, 193, 579

551 : 1, 19, 29, 551

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,311,579,551,636, is 1.

Now, the common factors can be found like this.

323:17x 19

311:311

579:3x 193

551:19x 29

636:2x 2x 3x 53

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 20382159207132/(1x57)

LCM = 20382159207132/57

LCM = 357581740476

Thus, we can understand that the LCM of 323,311,579,551,636 is 357581740476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 311, 579, 551, 636

1. What is the LCM of 323, 311, 579, 551, 636?

Answer: LCM of 323, 311, 579, 551, 636 is 357581740476.

2. How to calculate the LCM of 323, 311, 579, 551, 636?

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, 311, 579, 551, 636.

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}.