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LCM of 831, 593, 465

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


Find the LCM of 831, 593, 465 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 831, 593, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,593,465

Given numbers are 831,593,465

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

The LCM of 831,593,465 is 76381365.

Find LCM of 831,593,465 with Prime Factorization


3 831, 593, 465
277, 593, 155

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

3 x 277 x 593 x 155 = 76381365

Therefore, the lowest common multiple of 831,593,465 is 76381365.

LCM Formula to Find Lowest Common Multiple of 831,593,465

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.

831 x 593 x 465 = 229144095

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.

831 : 1, 3, 277, 831

593 : 1, 593

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,593,465, is 1.

Now, the common factors can be found like this.

831:3x 277

593:593

465:3x 5x 31

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 = 229144095/(1x3)

LCM = 229144095/3

LCM = 76381365

Thus, we can understand that the LCM of 831,593,465 is 76381365.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 831, 593, 465

1. What is the LCM of 831, 593, 465?

Answer: LCM of 831, 593, 465 is 76381365.

2. How to calculate the LCM of 831, 593, 465?

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 831, 593, 465.

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}.