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 495, 484, 506, 311

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


Find the LCM of 495, 484, 506, 311 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 495, 484, 506, 311. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 495,484,506,311

Given numbers are 495,484,506,311

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

The LCM of 495,484,506,311 is 155792340.

Find LCM of 495,484,506,311 with Prime Factorization


2 495, 484, 506, 311
11 495, 242, 253, 311
45, 22, 23, 311

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

2 x 11 x 45 x 22 x 23 x 311 = 155792340

Therefore, the lowest common multiple of 495,484,506,311 is 155792340.

LCM Formula to Find Lowest Common Multiple of 495,484,506,311

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.

495 x 484 x 506 x 311 = 37701746280

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

506 : 1, 2, 11, 22, 23, 46, 253, 506

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,484,506,311, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

484:2x 2x 11x 11

506:2x 11x 23

311:311

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 37701746280/(1x242)

LCM = 37701746280/242

LCM = 155792340

Thus, we can understand that the LCM of 495,484,506,311 is 155792340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 495, 484, 506, 311

1. What is the LCM of 495, 484, 506, 311?

Answer: LCM of 495, 484, 506, 311 is 155792340.

2. How to calculate the LCM of 495, 484, 506, 311?

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 495, 484, 506, 311.

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}.