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LCM of 565, 247, 512, 498

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


Find the LCM of 565, 247, 512, 498 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 565, 247, 512, 498. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,247,512,498

Given numbers are 565,247,512,498

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

The LCM of 565,247,512,498 is 17791587840.

Find LCM of 565,247,512,498 with Prime Factorization


2 565, 247, 512, 498
565, 247, 256, 249

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

2 x 565 x 247 x 256 x 249 = 17791587840

Therefore, the lowest common multiple of 565,247,512,498 is 17791587840.

LCM Formula to Find Lowest Common Multiple of 565,247,512,498

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.

565 x 247 x 512 x 498 = 35583175680

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.

565 : 1, 5, 113, 565

247 : 1, 13, 19, 247

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,247,512,498, is 1.

Now, the common factors can be found like this.

565:5x 113

247:13x 19

512:2x 2x 2x 2x 2x 2x 2x 2x 2

498:2x 3x 83

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 = 35583175680/(1x2)

LCM = 35583175680/2

LCM = 17791587840

Thus, we can understand that the LCM of 565,247,512,498 is 17791587840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 247, 512, 498

1. What is the LCM of 565, 247, 512, 498?

Answer: LCM of 565, 247, 512, 498 is 17791587840.

2. How to calculate the LCM of 565, 247, 512, 498?

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 565, 247, 512, 498.

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}.