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LCM of 5883, 3071

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


Find the LCM of 5883, 3071 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 5883, 3071. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5883,3071

Given numbers are 5883,3071

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

The LCM of 5883,3071 is 488289.

Find LCM of 5883,3071 with Prime Factorization


37 5883, 3071
159, 83

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

37 x 159 x 83 = 488289

Therefore, the lowest common multiple of 5883,3071 is 488289.

LCM Formula to Find Lowest Common Multiple of 5883,3071

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.

5883 x 3071 = 18066693

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.

5883 : 1, 3, 37, 53, 111, 159, 1961, 5883

3071 : 1, 37, 83, 3071

37 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5883,3071, is 37.

Now, the common factors can be found like this.

5883:3x 37x 53

3071:37x 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 = 18066693/(37x1)

LCM = 18066693/37

LCM = 488289

Thus, we can understand that the LCM of 5883,3071 is 488289.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5883, 3071

1. What is the LCM of 5883, 3071?

Answer: LCM of 5883, 3071 is 488289.

2. How to calculate the LCM of 5883, 3071?

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 5883, 3071.

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}.