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LCM of 2456, 9714

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


Find the LCM of 2456, 9714 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 2456, 9714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2456,9714

Given numbers are 2456,9714

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

The LCM of 2456,9714 is 11928792.

Find LCM of 2456,9714 with Prime Factorization


2 2456, 9714
1228, 4857

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

2 x 1228 x 4857 = 11928792

Therefore, the lowest common multiple of 2456,9714 is 11928792.

LCM Formula to Find Lowest Common Multiple of 2456,9714

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.

2456 x 9714 = 23857584

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.

2456 : 1, 2, 4, 8, 307, 614, 1228, 2456

9714 : 1, 2, 3, 6, 1619, 3238, 4857, 9714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2456,9714, is 2.

Now, the common factors can be found like this.

2456:2x 2x 2x 307

9714:2x 3x 1619

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 = 23857584/(2x1)

LCM = 23857584/2

LCM = 11928792

Thus, we can understand that the LCM of 2456,9714 is 11928792.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2456, 9714

1. What is the LCM of 2456, 9714?

Answer: LCM of 2456, 9714 is 11928792.

2. How to calculate the LCM of 2456, 9714?

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 2456, 9714.

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}.