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LCM of 792, 595, 165, 633

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


Find the LCM of 792, 595, 165, 633 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, 595, 165, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,595,165,633

Given numbers are 792,595,165,633

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

The LCM of 792,595,165,633 is 99431640.

Find LCM of 792,595,165,633 with Prime Factorization


3 792, 595, 165, 633
5 264, 595, 55, 211
11 264, 119, 11, 211
24, 119, 1, 211

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

3 x 5 x 11 x 24 x 119 x 1 x 211 = 99431640

Therefore, the lowest common multiple of 792,595,165,633 is 99431640.

LCM Formula to Find Lowest Common Multiple of 792,595,165,633

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 595 x 165 x 633 = 49218661800

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

595 : 1, 5, 7, 17, 35, 85, 119, 595

165 : 1, 3, 5, 11, 15, 33, 55, 165

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,595,165,633, is 1.

Now, the common factors can be found like this.

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

595:5x 7x 17

165:3x 5x 11

633:3x 211

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

3x 3x 5x 11 = 495

Therefore, the value for common factors is 495.

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 = 49218661800/(1x495)

LCM = 49218661800/495

LCM = 99431640

Thus, we can understand that the LCM of 792,595,165,633 is 99431640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 595, 165, 633

1. What is the LCM of 792, 595, 165, 633?

Answer: LCM of 792, 595, 165, 633 is 99431640.

2. How to calculate the LCM of 792, 595, 165, 633?

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, 595, 165, 633.

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}.