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LCM of 741, 559, 182, 514, 441

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


Find the LCM of 741, 559, 182, 514, 441 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 741, 559, 182, 514, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,559,182,514,441

Given numbers are 741,559,182,514,441

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

The LCM of 741,559,182,514,441 is 2407504554.

Find LCM of 741,559,182,514,441 with Prime Factorization


2 741, 559, 182, 514, 441
3 741, 559, 91, 257, 441
7 247, 559, 91, 257, 147
13 247, 559, 13, 257, 21
19, 43, 1, 257, 21

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

2 x 3 x 7 x 13 x 19 x 43 x 1 x 257 x 21 = 2407504554

Therefore, the lowest common multiple of 741,559,182,514,441 is 2407504554.

LCM Formula to Find Lowest Common Multiple of 741,559,182,514,441

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.

741 x 559 x 182 x 514 x 441 = 17088467324292

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

559 : 1, 13, 43, 559

182 : 1, 2, 7, 13, 14, 26, 91, 182

514 : 1, 2, 257, 514

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,559,182,514,441, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

559:13x 43

182:2x 7x 13

514:2x 257

441:3x 3x 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.

2x 3x 7x 13x 13 = 7098

Therefore, the value for common factors is 7098.

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 = 17088467324292/(1x7098)

LCM = 17088467324292/7098

LCM = 2407504554

Thus, we can understand that the LCM of 741,559,182,514,441 is 2407504554.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 559, 182, 514, 441

1. What is the LCM of 741, 559, 182, 514, 441?

Answer: LCM of 741, 559, 182, 514, 441 is 2407504554.

2. How to calculate the LCM of 741, 559, 182, 514, 441?

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 741, 559, 182, 514, 441.

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}.