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LCM of 792, 754, 401, 713, 307

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


Find the LCM of 792, 754, 401, 713, 307 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 792, 754, 401, 713, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,754,401,713,307

Given numbers are 792,754,401,713,307

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

The LCM of 792,754,401,713,307 is 26208297487944.

Find LCM of 792,754,401,713,307 with Prime Factorization


2 792, 754, 401, 713, 307
396, 377, 401, 713, 307

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

2 x 396 x 377 x 401 x 713 x 307 = 26208297487944

Therefore, the lowest common multiple of 792,754,401,713,307 is 26208297487944.

LCM Formula to Find Lowest Common Multiple of 792,754,401,713,307

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.

792 x 754 x 401 x 713 x 307 = 52416594975888

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

754 : 1, 2, 13, 26, 29, 58, 377, 754

401 : 1, 401

713 : 1, 23, 31, 713

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,754,401,713,307, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

754:2x 13x 29

401:401

713:23x 31

307:307

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 = 52416594975888/(1x2)

LCM = 52416594975888/2

LCM = 26208297487944

Thus, we can understand that the LCM of 792,754,401,713,307 is 26208297487944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 754, 401, 713, 307

1. What is the LCM of 792, 754, 401, 713, 307?

Answer: LCM of 792, 754, 401, 713, 307 is 26208297487944.

2. How to calculate the LCM of 792, 754, 401, 713, 307?

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 792, 754, 401, 713, 307.

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}.