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LCM of 3071, 1909

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


Find the LCM of 3071, 1909 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 3071, 1909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3071,1909

Given numbers are 3071,1909

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

The LCM of 3071,1909 is 70633.

Find LCM of 3071,1909 with Prime Factorization


83 3071, 1909
37, 23

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

83 x 37 x 23 = 70633

Therefore, the lowest common multiple of 3071,1909 is 70633.

LCM Formula to Find Lowest Common Multiple of 3071,1909

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.

3071 x 1909 = 5862539

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.

3071 : 1, 37, 83, 3071

1909 : 1, 23, 83, 1909

83 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3071,1909, is 83.

Now, the common factors can be found like this.

3071:37x 83

1909:23x 83

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 = 5862539/(83x1)

LCM = 5862539/83

LCM = 70633

Thus, we can understand that the LCM of 3071,1909 is 70633.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3071, 1909

1. What is the LCM of 3071, 1909?

Answer: LCM of 3071, 1909 is 70633.

2. How to calculate the LCM of 3071, 1909?

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 3071, 1909.

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}.