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LCM of 6066, 7678

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


Find the LCM of 6066, 7678 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 6066, 7678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6066,7678

Given numbers are 6066,7678

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

The LCM of 6066,7678 is 23287374.

Find LCM of 6066,7678 with Prime Factorization


2 6066, 7678
3033, 3839

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

2 x 3033 x 3839 = 23287374

Therefore, the lowest common multiple of 6066,7678 is 23287374.

LCM Formula to Find Lowest Common Multiple of 6066,7678

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.

6066 x 7678 = 46574748

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.

6066 : 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

7678 : 1, 2, 11, 22, 349, 698, 3839, 7678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6066,7678, is 2.

Now, the common factors can be found like this.

6066:2x 3x 3x 337

7678:2x 11x 349

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 = 46574748/(2x1)

LCM = 46574748/2

LCM = 23287374

Thus, we can understand that the LCM of 6066,7678 is 23287374.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6066, 7678

1. What is the LCM of 6066, 7678?

Answer: LCM of 6066, 7678 is 23287374.

2. How to calculate the LCM of 6066, 7678?

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 6066, 7678.

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}.