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LCM of 386, 209, 399, 343

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


Find the LCM of 386, 209, 399, 343 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 386, 209, 399, 343. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,209,399,343

Given numbers are 386,209,399,343

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

The LCM of 386,209,399,343 is 83013546.

Find LCM of 386,209,399,343 with Prime Factorization


7 386, 209, 399, 343
19 386, 209, 57, 49
386, 11, 3, 49

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

7 x 19 x 386 x 11 x 3 x 49 = 83013546

Therefore, the lowest common multiple of 386,209,399,343 is 83013546.

LCM Formula to Find Lowest Common Multiple of 386,209,399,343

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.

386 x 209 x 399 x 343 = 11040801618

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.

386 : 1, 2, 193, 386

209 : 1, 11, 19, 209

399 : 1, 3, 7, 19, 21, 57, 133, 399

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,209,399,343, is 1.

Now, the common factors can be found like this.

386:2x 193

209:11x 19

399:3x 7x 19

343:7x 7x 7

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

7x 19 = 133

Therefore, the value for common factors is 133.

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 = 11040801618/(1x133)

LCM = 11040801618/133

LCM = 83013546

Thus, we can understand that the LCM of 386,209,399,343 is 83013546.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 209, 399, 343

1. What is the LCM of 386, 209, 399, 343?

Answer: LCM of 386, 209, 399, 343 is 83013546.

2. How to calculate the LCM of 386, 209, 399, 343?

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 386, 209, 399, 343.

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}.