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LCM of 197, 399, 741, 812

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


Find the LCM of 197, 399, 741, 812 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, 399, 741, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,399,741,812

Given numbers are 197,399,741,812

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

The LCM of 197,399,741,812 is 118533324.

Find LCM of 197,399,741,812 with Prime Factorization


3 197, 399, 741, 812
7 197, 133, 247, 812
19 197, 19, 247, 116
197, 1, 13, 116

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

3 x 7 x 19 x 197 x 1 x 13 x 116 = 118533324

Therefore, the lowest common multiple of 197,399,741,812 is 118533324.

LCM Formula to Find Lowest Common Multiple of 197,399,741,812

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 399 x 741 x 812 = 47294796276

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

741 : 1, 3, 13, 19, 39, 57, 247, 741

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,399,741,812, is 1.

Now, the common factors can be found like this.

197:197

399:3x 7x 19

741:3x 13x 19

812:2x 2x 7x 29

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

3x 7x 19 = 399

Therefore, the value for common factors is 399.

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 = 47294796276/(1x399)

LCM = 47294796276/399

LCM = 118533324

Thus, we can understand that the LCM of 197,399,741,812 is 118533324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 399, 741, 812

1. What is the LCM of 197, 399, 741, 812?

Answer: LCM of 197, 399, 741, 812 is 118533324.

2. How to calculate the LCM of 197, 399, 741, 812?

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, 399, 741, 812.

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}.