LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 494, 541, 741, 308, 395

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


Find the LCM of 494, 541, 741, 308, 395 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 494, 541, 741, 308, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,541,741,308,395

Given numbers are 494,541,741,308,395

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

The LCM of 494,541,741,308,395 is 48771182460.

Find LCM of 494,541,741,308,395 with Prime Factorization


2 494, 541, 741, 308, 395
13 247, 541, 741, 154, 395
19 19, 541, 57, 154, 395
1, 541, 3, 154, 395

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

2 x 13 x 19 x 1 x 541 x 3 x 154 x 395 = 48771182460

Therefore, the lowest common multiple of 494,541,741,308,395 is 48771182460.

LCM Formula to Find Lowest Common Multiple of 494,541,741,308,395

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.

494 x 541 x 741 x 308 x 395 = 24092964135240

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

541 : 1, 541

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,541,741,308,395, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

541:541

741:3x 13x 19

308:2x 2x 7x 11

395:5x 79

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

2x 13x 19 = 494

Therefore, the value for common factors is 494.

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 = 24092964135240/(1x494)

LCM = 24092964135240/494

LCM = 48771182460

Thus, we can understand that the LCM of 494,541,741,308,395 is 48771182460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 541, 741, 308, 395

1. What is the LCM of 494, 541, 741, 308, 395?

Answer: LCM of 494, 541, 741, 308, 395 is 48771182460.

2. How to calculate the LCM of 494, 541, 741, 308, 395?

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 494, 541, 741, 308, 395.

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}.