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LCM of 814, 296, 579, 450, 542

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


Find the LCM of 814, 296, 579, 450, 542 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 814, 296, 579, 450, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,296,579,450,542

Given numbers are 814,296,579,450,542

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

The LCM of 814,296,579,450,542 is 38317177800.

Find LCM of 814,296,579,450,542 with Prime Factorization


2 814, 296, 579, 450, 542
3 407, 148, 579, 225, 271
37 407, 148, 193, 75, 271
11, 4, 193, 75, 271

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

2 x 3 x 37 x 11 x 4 x 193 x 75 x 271 = 38317177800

Therefore, the lowest common multiple of 814,296,579,450,542 is 38317177800.

LCM Formula to Find Lowest Common Multiple of 814,296,579,450,542

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.

814 x 296 x 579 x 450 x 542 = 34025653886400

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

296 : 1, 2, 4, 8, 37, 74, 148, 296

579 : 1, 3, 193, 579

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,296,579,450,542, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

296:2x 2x 2x 37

579:3x 193

450:2x 3x 3x 5x 5

542:2x 271

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

2x 2x 2x 3x 37 = 888

Therefore, the value for common factors is 888.

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 = 34025653886400/(1x888)

LCM = 34025653886400/888

LCM = 38317177800

Thus, we can understand that the LCM of 814,296,579,450,542 is 38317177800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 296, 579, 450, 542

1. What is the LCM of 814, 296, 579, 450, 542?

Answer: LCM of 814, 296, 579, 450, 542 is 38317177800.

2. How to calculate the LCM of 814, 296, 579, 450, 542?

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 814, 296, 579, 450, 542.

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}.