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LCM of 9367, 8245

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


Find the LCM of 9367, 8245 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 9367, 8245. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9367,8245

Given numbers are 9367,8245

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

The LCM of 9367,8245 is 4542995.

Find LCM of 9367,8245 with Prime Factorization


17 9367, 8245
551, 485

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

17 x 551 x 485 = 4542995

Therefore, the lowest common multiple of 9367,8245 is 4542995.

LCM Formula to Find Lowest Common Multiple of 9367,8245

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.

9367 x 8245 = 77230915

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.

9367 : 1, 17, 19, 29, 323, 493, 551, 9367

8245 : 1, 5, 17, 85, 97, 485, 1649, 8245

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9367,8245, is 17.

Now, the common factors can be found like this.

9367:17x 19x 29

8245:5x 17x 97

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 = 77230915/(17x1)

LCM = 77230915/17

LCM = 4542995

Thus, we can understand that the LCM of 9367,8245 is 4542995.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9367, 8245

1. What is the LCM of 9367, 8245?

Answer: LCM of 9367, 8245 is 4542995.

2. How to calculate the LCM of 9367, 8245?

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 9367, 8245.

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}.