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 405, 274, 676, 503

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


Find the LCM of 405, 274, 676, 503 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 405, 274, 676, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 405,274,676,503

Given numbers are 405,274,676,503

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

The LCM of 405,274,676,503 is 18866453580.

Find LCM of 405,274,676,503 with Prime Factorization


2 405, 274, 676, 503
405, 137, 338, 503

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

2 x 405 x 137 x 338 x 503 = 18866453580

Therefore, the lowest common multiple of 405,274,676,503 is 18866453580.

LCM Formula to Find Lowest Common Multiple of 405,274,676,503

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.

405 x 274 x 676 x 503 = 37732907160

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

274 : 1, 2, 137, 274

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,274,676,503, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

274:2x 137

676:2x 2x 13x 13

503:503

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37732907160/(1x2)

LCM = 37732907160/2

LCM = 18866453580

Thus, we can understand that the LCM of 405,274,676,503 is 18866453580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 405, 274, 676, 503

1. What is the LCM of 405, 274, 676, 503?

Answer: LCM of 405, 274, 676, 503 is 18866453580.

2. How to calculate the LCM of 405, 274, 676, 503?

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 405, 274, 676, 503.

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}.