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LCM of 9078, 6784

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


Find the LCM of 9078, 6784 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 9078, 6784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9078,6784

Given numbers are 9078,6784

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

The LCM of 9078,6784 is 30792576.

Find LCM of 9078,6784 with Prime Factorization


2 9078, 6784
4539, 3392

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

2 x 4539 x 3392 = 30792576

Therefore, the lowest common multiple of 9078,6784 is 30792576.

LCM Formula to Find Lowest Common Multiple of 9078,6784

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.

9078 x 6784 = 61585152

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.

9078 : 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078

6784 : 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9078,6784, is 2.

Now, the common factors can be found like this.

9078:2x 3x 17x 89

6784:2x 2x 2x 2x 2x 2x 2x 53

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 = 61585152/(2x1)

LCM = 61585152/2

LCM = 30792576

Thus, we can understand that the LCM of 9078,6784 is 30792576.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 9078, 6784

1. What is the LCM of 9078, 6784?

Answer: LCM of 9078, 6784 is 30792576.

2. How to calculate the LCM of 9078, 6784?

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 9078, 6784.

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}.