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LCM of 197, 533, 494, 512

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


Find the LCM of 197, 533, 494, 512 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 197, 533, 494, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,533,494,512

Given numbers are 197,533,494,512

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

The LCM of 197,533,494,512 is 1021449728.

Find LCM of 197,533,494,512 with Prime Factorization


2 197, 533, 494, 512
13 197, 533, 247, 256
197, 41, 19, 256

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

2 x 13 x 197 x 41 x 19 x 256 = 1021449728

Therefore, the lowest common multiple of 197,533,494,512 is 1021449728.

LCM Formula to Find Lowest Common Multiple of 197,533,494,512

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.

197 x 533 x 494 x 512 = 26557692928

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.

197 : 1, 197

533 : 1, 13, 41, 533

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,533,494,512, is 1.

Now, the common factors can be found like this.

197:197

533:13x 41

494:2x 13x 19

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

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 26557692928/(1x26)

LCM = 26557692928/26

LCM = 1021449728

Thus, we can understand that the LCM of 197,533,494,512 is 1021449728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 533, 494, 512

1. What is the LCM of 197, 533, 494, 512?

Answer: LCM of 197, 533, 494, 512 is 1021449728.

2. How to calculate the LCM of 197, 533, 494, 512?

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 197, 533, 494, 512.

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}.