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LCM of 9249, 8574

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


Find the LCM of 9249, 8574 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 9249, 8574. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9249,8574

Given numbers are 9249,8574

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

The LCM of 9249,8574 is 26433642.

Find LCM of 9249,8574 with Prime Factorization


3 9249, 8574
3083, 2858

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

3 x 3083 x 2858 = 26433642

Therefore, the lowest common multiple of 9249,8574 is 26433642.

LCM Formula to Find Lowest Common Multiple of 9249,8574

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.

9249 x 8574 = 79300926

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.

9249 : 1, 3, 3083, 9249

8574 : 1, 2, 3, 6, 1429, 2858, 4287, 8574

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9249,8574, is 3.

Now, the common factors can be found like this.

9249:3x 3083

8574:2x 3x 1429

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 = 79300926/(3x1)

LCM = 79300926/3

LCM = 26433642

Thus, we can understand that the LCM of 9249,8574 is 26433642.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9249, 8574

1. What is the LCM of 9249, 8574?

Answer: LCM of 9249, 8574 is 26433642.

2. How to calculate the LCM of 9249, 8574?

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 9249, 8574.

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}.