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LCM of 6418, 9374

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


Find the LCM of 6418, 9374 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 6418, 9374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6418,9374

Given numbers are 6418,9374

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

The LCM of 6418,9374 is 30081166.

Find LCM of 6418,9374 with Prime Factorization


2 6418, 9374
3209, 4687

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

2 x 3209 x 4687 = 30081166

Therefore, the lowest common multiple of 6418,9374 is 30081166.

LCM Formula to Find Lowest Common Multiple of 6418,9374

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.

6418 x 9374 = 60162332

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.

6418 : 1, 2, 3209, 6418

9374 : 1, 2, 43, 86, 109, 218, 4687, 9374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6418,9374, is 2.

Now, the common factors can be found like this.

6418:2x 3209

9374:2x 43x 109

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 = 60162332/(2x1)

LCM = 60162332/2

LCM = 30081166

Thus, we can understand that the LCM of 6418,9374 is 30081166.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6418, 9374

1. What is the LCM of 6418, 9374?

Answer: LCM of 6418, 9374 is 30081166.

2. How to calculate the LCM of 6418, 9374?

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 6418, 9374.

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}.