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LCM of 8278, 1454

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


Find the LCM of 8278, 1454 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 8278, 1454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8278,1454

Given numbers are 8278,1454

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

The LCM of 8278,1454 is 6018106.

Find LCM of 8278,1454 with Prime Factorization


2 8278, 1454
4139, 727

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

2 x 4139 x 727 = 6018106

Therefore, the lowest common multiple of 8278,1454 is 6018106.

LCM Formula to Find Lowest Common Multiple of 8278,1454

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.

8278 x 1454 = 12036212

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.

8278 : 1, 2, 4139, 8278

1454 : 1, 2, 727, 1454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8278,1454, is 2.

Now, the common factors can be found like this.

8278:2x 4139

1454:2x 727

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 = 12036212/(2x1)

LCM = 12036212/2

LCM = 6018106

Thus, we can understand that the LCM of 8278,1454 is 6018106.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8278, 1454

1. What is the LCM of 8278, 1454?

Answer: LCM of 8278, 1454 is 6018106.

2. How to calculate the LCM of 8278, 1454?

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 8278, 1454.

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}.