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LCM of 3027, 1431

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


Find the LCM of 3027, 1431 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 3027, 1431. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3027,1431

Given numbers are 3027,1431

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

The LCM of 3027,1431 is 1443879.

Find LCM of 3027,1431 with Prime Factorization


3 3027, 1431
1009, 477

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

3 x 1009 x 477 = 1443879

Therefore, the lowest common multiple of 3027,1431 is 1443879.

LCM Formula to Find Lowest Common Multiple of 3027,1431

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.

3027 x 1431 = 4331637

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.

3027 : 1, 3, 1009, 3027

1431 : 1, 3, 9, 27, 53, 159, 477, 1431

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3027,1431, is 3.

Now, the common factors can be found like this.

3027:3x 1009

1431:3x 3x 3x 53

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 = 4331637/(3x1)

LCM = 4331637/3

LCM = 1443879

Thus, we can understand that the LCM of 3027,1431 is 1443879.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3027, 1431

1. What is the LCM of 3027, 1431?

Answer: LCM of 3027, 1431 is 1443879.

2. How to calculate the LCM of 3027, 1431?

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 3027, 1431.

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}.