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LCM of 723, 9255

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


Find the LCM of 723, 9255 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 723, 9255. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,9255

Given numbers are 723,9255

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

The LCM of 723,9255 is 2230455.

Find LCM of 723,9255 with Prime Factorization


3 723, 9255
241, 3085

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

3 x 241 x 3085 = 2230455

Therefore, the lowest common multiple of 723,9255 is 2230455.

LCM Formula to Find Lowest Common Multiple of 723,9255

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.

723 x 9255 = 6691365

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.

723 : 1, 3, 241, 723

9255 : 1, 3, 5, 15, 617, 1851, 3085, 9255

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,9255, is 3.

Now, the common factors can be found like this.

723:3x 241

9255:3x 5x 617

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

= 1

Therefore, the value for common factors is 1.

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 = 6691365/(3x1)

LCM = 6691365/3

LCM = 2230455

Thus, we can understand that the LCM of 723,9255 is 2230455.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 723, 9255

1. What is the LCM of 723, 9255?

Answer: LCM of 723, 9255 is 2230455.

2. How to calculate the LCM of 723, 9255?

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 723, 9255.

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}.