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LCM of 3112, 5836

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


Find the LCM of 3112, 5836 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 3112, 5836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3112,5836

Given numbers are 3112,5836

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

The LCM of 3112,5836 is 4540408.

Find LCM of 3112,5836 with Prime Factorization


2 3112, 5836
2 1556, 2918
778, 1459

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

2 x 2 x 778 x 1459 = 4540408

Therefore, the lowest common multiple of 3112,5836 is 4540408.

LCM Formula to Find Lowest Common Multiple of 3112,5836

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.

3112 x 5836 = 18161632

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.

3112 : 1, 2, 4, 8, 389, 778, 1556, 3112

5836 : 1, 2, 4, 1459, 2918, 5836

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3112,5836, is 4.

Now, the common factors can be found like this.

3112:2x 2x 2x 389

5836:2x 2x 1459

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 = 18161632/(4x1)

LCM = 18161632/4

LCM = 4540408

Thus, we can understand that the LCM of 3112,5836 is 4540408.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3112, 5836

1. What is the LCM of 3112, 5836?

Answer: LCM of 3112, 5836 is 4540408.

2. How to calculate the LCM of 3112, 5836?

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 3112, 5836.

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}.