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LCM of 2780, 9084

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


Find the LCM of 2780, 9084 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 2780, 9084. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2780,9084

Given numbers are 2780,9084

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

The LCM of 2780,9084 is 6313380.

Find LCM of 2780,9084 with Prime Factorization


2 2780, 9084
2 1390, 4542
695, 2271

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

2 x 2 x 695 x 2271 = 6313380

Therefore, the lowest common multiple of 2780,9084 is 6313380.

LCM Formula to Find Lowest Common Multiple of 2780,9084

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.

2780 x 9084 = 25253520

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.

2780 : 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780

9084 : 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2780,9084, is 4.

Now, the common factors can be found like this.

2780:2x 2x 5x 139

9084:2x 2x 3x 757

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 = 25253520/(4x1)

LCM = 25253520/4

LCM = 6313380

Thus, we can understand that the LCM of 2780,9084 is 6313380.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2780, 9084

1. What is the LCM of 2780, 9084?

Answer: LCM of 2780, 9084 is 6313380.

2. How to calculate the LCM of 2780, 9084?

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 2780, 9084.

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}.