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LCM of 6078, 3118

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


Find the LCM of 6078, 3118 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 6078, 3118. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6078,3118

Given numbers are 6078,3118

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

The LCM of 6078,3118 is 9475602.

Find LCM of 6078,3118 with Prime Factorization


2 6078, 3118
3039, 1559

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

2 x 3039 x 1559 = 9475602

Therefore, the lowest common multiple of 6078,3118 is 9475602.

LCM Formula to Find Lowest Common Multiple of 6078,3118

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.

6078 x 3118 = 18951204

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.

6078 : 1, 2, 3, 6, 1013, 2026, 3039, 6078

3118 : 1, 2, 1559, 3118

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6078,3118, is 2.

Now, the common factors can be found like this.

6078:2x 3x 1013

3118:2x 1559

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 = 18951204/(2x1)

LCM = 18951204/2

LCM = 9475602

Thus, we can understand that the LCM of 6078,3118 is 9475602.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6078, 3118

1. What is the LCM of 6078, 3118?

Answer: LCM of 6078, 3118 is 9475602.

2. How to calculate the LCM of 6078, 3118?

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 6078, 3118.

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}.