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LCM of 395, 338, 559, 710, 543

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


Find the LCM of 395, 338, 559, 710, 543 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 395, 338, 559, 710, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,338,559,710,543

Given numbers are 395,338,559,710,543

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

The LCM of 395,338,559,710,543 is 221330074290.

Find LCM of 395,338,559,710,543 with Prime Factorization


2 395, 338, 559, 710, 543
5 395, 169, 559, 355, 543
13 79, 169, 559, 71, 543
79, 13, 43, 71, 543

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

2 x 5 x 13 x 79 x 13 x 43 x 71 x 543 = 221330074290

Therefore, the lowest common multiple of 395,338,559,710,543 is 221330074290.

LCM Formula to Find Lowest Common Multiple of 395,338,559,710,543

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.

395 x 338 x 559 x 710 x 543 = 28772909657700

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.

395 : 1, 5, 79, 395

338 : 1, 2, 13, 26, 169, 338

559 : 1, 13, 43, 559

710 : 1, 2, 5, 10, 71, 142, 355, 710

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,338,559,710,543, is 1.

Now, the common factors can be found like this.

395:5x 79

338:2x 13x 13

559:13x 43

710:2x 5x 71

543:3x 181

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 28772909657700/(1x130)

LCM = 28772909657700/130

LCM = 221330074290

Thus, we can understand that the LCM of 395,338,559,710,543 is 221330074290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 338, 559, 710, 543

1. What is the LCM of 395, 338, 559, 710, 543?

Answer: LCM of 395, 338, 559, 710, 543 is 221330074290.

2. How to calculate the LCM of 395, 338, 559, 710, 543?

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 395, 338, 559, 710, 543.

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}.