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LCM of 484, 308, 131, 511

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


Find the LCM of 484, 308, 131, 511 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 484, 308, 131, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,308,131,511

Given numbers are 484,308,131,511

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

The LCM of 484,308,131,511 is 32399444.

Find LCM of 484,308,131,511 with Prime Factorization


2 484, 308, 131, 511
2 242, 154, 131, 511
7 121, 77, 131, 511
11 121, 11, 131, 73
1, 11, 131, 73

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

2 x 2 x 7 x 11 x 1 x 11 x 131 x 73 = 32399444

Therefore, the lowest common multiple of 484,308,131,511 is 32399444.

LCM Formula to Find Lowest Common Multiple of 484,308,131,511

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.

484 x 308 x 131 x 511 = 9979028752

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.

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

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

131 : 1, 131

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,308,131,511, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

308:2x 2x 7x 11

131:131

511:7x 73

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 9979028752/(1x308)

LCM = 9979028752/308

LCM = 32399444

Thus, we can understand that the LCM of 484,308,131,511 is 32399444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 308, 131, 511

1. What is the LCM of 484, 308, 131, 511?

Answer: LCM of 484, 308, 131, 511 is 32399444.

2. How to calculate the LCM of 484, 308, 131, 511?

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 484, 308, 131, 511.

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}.