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LCM of 6045, 2883

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


Find the LCM of 6045, 2883 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 6045, 2883. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6045,2883

Given numbers are 6045,2883

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

The LCM of 6045,2883 is 187395.

Find LCM of 6045,2883 with Prime Factorization


3 6045, 2883
31 2015, 961
65, 31

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

3 x 31 x 65 x 31 = 187395

Therefore, the lowest common multiple of 6045,2883 is 187395.

LCM Formula to Find Lowest Common Multiple of 6045,2883

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.

6045 x 2883 = 17427735

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.

6045 : 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045

2883 : 1, 3, 31, 93, 961, 2883

93 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6045,2883, is 93.

Now, the common factors can be found like this.

6045:3x 5x 13x 31

2883:3x 31x 31

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 = 17427735/(93x1)

LCM = 17427735/93

LCM = 187395

Thus, we can understand that the LCM of 6045,2883 is 187395.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6045, 2883

1. What is the LCM of 6045, 2883?

Answer: LCM of 6045, 2883 is 187395.

2. How to calculate the LCM of 6045, 2883?

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 6045, 2883.

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}.