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LCM of 797, 401, 447, 312, 737

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


Find the LCM of 797, 401, 447, 312, 737 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 797, 401, 447, 312, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,401,447,312,737

Given numbers are 797,401,447,312,737

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

The LCM of 797,401,447,312,737 is 10949922472632.

Find LCM of 797,401,447,312,737 with Prime Factorization


3 797, 401, 447, 312, 737
797, 401, 149, 104, 737

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

3 x 797 x 401 x 149 x 104 x 737 = 10949922472632

Therefore, the lowest common multiple of 797,401,447,312,737 is 10949922472632.

LCM Formula to Find Lowest Common Multiple of 797,401,447,312,737

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.

797 x 401 x 447 x 312 x 737 = 32849767417896

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.

797 : 1, 797

401 : 1, 401

447 : 1, 3, 149, 447

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,401,447,312,737, is 1.

Now, the common factors can be found like this.

797:797

401:401

447:3x 149

312:2x 2x 2x 3x 13

737:11x 67

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

3 = 3

Therefore, the value for common factors is 3.

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 = 32849767417896/(1x3)

LCM = 32849767417896/3

LCM = 10949922472632

Thus, we can understand that the LCM of 797,401,447,312,737 is 10949922472632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 401, 447, 312, 737

1. What is the LCM of 797, 401, 447, 312, 737?

Answer: LCM of 797, 401, 447, 312, 737 is 10949922472632.

2. How to calculate the LCM of 797, 401, 447, 312, 737?

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 797, 401, 447, 312, 737.

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}.