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LCM of 7082, 3178

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


Find the LCM of 7082, 3178 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 7082, 3178. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7082,3178

Given numbers are 7082,3178

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

The LCM of 7082,3178 is 11253298.

Find LCM of 7082,3178 with Prime Factorization


2 7082, 3178
3541, 1589

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

2 x 3541 x 1589 = 11253298

Therefore, the lowest common multiple of 7082,3178 is 11253298.

LCM Formula to Find Lowest Common Multiple of 7082,3178

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.

7082 x 3178 = 22506596

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.

7082 : 1, 2, 3541, 7082

3178 : 1, 2, 7, 14, 227, 454, 1589, 3178

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7082,3178, is 2.

Now, the common factors can be found like this.

7082:2x 3541

3178:2x 7x 227

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 = 22506596/(2x1)

LCM = 22506596/2

LCM = 11253298

Thus, we can understand that the LCM of 7082,3178 is 11253298.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7082, 3178

1. What is the LCM of 7082, 3178?

Answer: LCM of 7082, 3178 is 11253298.

2. How to calculate the LCM of 7082, 3178?

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 7082, 3178.

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}.