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LCM of 6226, 1684

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


Find the LCM of 6226, 1684 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 6226, 1684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6226,1684

Given numbers are 6226,1684

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

The LCM of 6226,1684 is 5242292.

Find LCM of 6226,1684 with Prime Factorization


2 6226, 1684
3113, 842

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

2 x 3113 x 842 = 5242292

Therefore, the lowest common multiple of 6226,1684 is 5242292.

LCM Formula to Find Lowest Common Multiple of 6226,1684

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.

6226 x 1684 = 10484584

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.

6226 : 1, 2, 11, 22, 283, 566, 3113, 6226

1684 : 1, 2, 4, 421, 842, 1684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6226,1684, is 2.

Now, the common factors can be found like this.

6226:2x 11x 283

1684:2x 2x 421

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 = 10484584/(2x1)

LCM = 10484584/2

LCM = 5242292

Thus, we can understand that the LCM of 6226,1684 is 5242292.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6226, 1684

1. What is the LCM of 6226, 1684?

Answer: LCM of 6226, 1684 is 5242292.

2. How to calculate the LCM of 6226, 1684?

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 6226, 1684.

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}.