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LCM of 343, 579, 312, 299

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


Find the LCM of 343, 579, 312, 299 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 343, 579, 312, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,579,312,299

Given numbers are 343,579,312,299

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

The LCM of 343,579,312,299 is 475044024.

Find LCM of 343,579,312,299 with Prime Factorization


3 343, 579, 312, 299
13 343, 193, 104, 299
343, 193, 8, 23

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

3 x 13 x 343 x 193 x 8 x 23 = 475044024

Therefore, the lowest common multiple of 343,579,312,299 is 475044024.

LCM Formula to Find Lowest Common Multiple of 343,579,312,299

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.

343 x 579 x 312 x 299 = 18526716936

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.

343 : 1, 7, 49, 343

579 : 1, 3, 193, 579

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,579,312,299, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

579:3x 193

312:2x 2x 2x 3x 13

299:13x 23

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 18526716936/(1x39)

LCM = 18526716936/39

LCM = 475044024

Thus, we can understand that the LCM of 343,579,312,299 is 475044024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 579, 312, 299

1. What is the LCM of 343, 579, 312, 299?

Answer: LCM of 343, 579, 312, 299 is 475044024.

2. How to calculate the LCM of 343, 579, 312, 299?

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 343, 579, 312, 299.

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}.