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LCM of 8574, 3615

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


Find the LCM of 8574, 3615 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 8574, 3615. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8574,3615

Given numbers are 8574,3615

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

The LCM of 8574,3615 is 10331670.

Find LCM of 8574,3615 with Prime Factorization


3 8574, 3615
2858, 1205

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

3 x 2858 x 1205 = 10331670

Therefore, the lowest common multiple of 8574,3615 is 10331670.

LCM Formula to Find Lowest Common Multiple of 8574,3615

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.

8574 x 3615 = 30995010

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.

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

3615 : 1, 3, 5, 15, 241, 723, 1205, 3615

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8574,3615, is 3.

Now, the common factors can be found like this.

8574:2x 3x 1429

3615:3x 5x 241

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 = 30995010/(3x1)

LCM = 30995010/3

LCM = 10331670

Thus, we can understand that the LCM of 8574,3615 is 10331670.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8574, 3615

1. What is the LCM of 8574, 3615?

Answer: LCM of 8574, 3615 is 10331670.

2. How to calculate the LCM of 8574, 3615?

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 8574, 3615.

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}.