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LCM of 415, 514, 542, 534

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


Find the LCM of 415, 514, 542, 534 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 415, 514, 542, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,514,542,534

Given numbers are 415,514,542,534

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

The LCM of 415,514,542,534 is 15434471670.

Find LCM of 415,514,542,534 with Prime Factorization


2 415, 514, 542, 534
415, 257, 271, 267

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

2 x 415 x 257 x 271 x 267 = 15434471670

Therefore, the lowest common multiple of 415,514,542,534 is 15434471670.

LCM Formula to Find Lowest Common Multiple of 415,514,542,534

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.

415 x 514 x 542 x 534 = 61737886680

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.

415 : 1, 5, 83, 415

514 : 1, 2, 257, 514

542 : 1, 2, 271, 542

534 : 1, 2, 3, 6, 89, 178, 267, 534

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,514,542,534, is 1.

Now, the common factors can be found like this.

415:5x 83

514:2x 257

542:2x 271

534:2x 3x 89

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 61737886680/(1x4)

LCM = 61737886680/4

LCM = 15434471670

Thus, we can understand that the LCM of 415,514,542,534 is 15434471670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 514, 542, 534

1. What is the LCM of 415, 514, 542, 534?

Answer: LCM of 415, 514, 542, 534 is 15434471670.

2. How to calculate the LCM of 415, 514, 542, 534?

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 415, 514, 542, 534.

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}.