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LCM of 795, 635, 283, 867

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


Find the LCM of 795, 635, 283, 867 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 795, 635, 283, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 795,635,283,867

Given numbers are 795,635,283,867

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

The LCM of 795,635,283,867 is 8257624455.

Find LCM of 795,635,283,867 with Prime Factorization


3 795, 635, 283, 867
5 265, 635, 283, 289
53, 127, 283, 289

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

3 x 5 x 53 x 127 x 283 x 289 = 8257624455

Therefore, the lowest common multiple of 795,635,283,867 is 8257624455.

LCM Formula to Find Lowest Common Multiple of 795,635,283,867

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.

795 x 635 x 283 x 867 = 123864366825

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.

795 : 1, 3, 5, 15, 53, 159, 265, 795

635 : 1, 5, 127, 635

283 : 1, 283

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,635,283,867, is 1.

Now, the common factors can be found like this.

795:3x 5x 53

635:5x 127

283:283

867:3x 17x 17

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 123864366825/(1x15)

LCM = 123864366825/15

LCM = 8257624455

Thus, we can understand that the LCM of 795,635,283,867 is 8257624455.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 795, 635, 283, 867

1. What is the LCM of 795, 635, 283, 867?

Answer: LCM of 795, 635, 283, 867 is 8257624455.

2. How to calculate the LCM of 795, 635, 283, 867?

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 795, 635, 283, 867.

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}.