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LCM of 5151, 7089

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


Find the LCM of 5151, 7089 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 5151, 7089. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5151,7089

Given numbers are 5151,7089

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

The LCM of 5151,7089 is 715989.

Find LCM of 5151,7089 with Prime Factorization


3 5151, 7089
17 1717, 2363
101, 139

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

3 x 17 x 101 x 139 = 715989

Therefore, the lowest common multiple of 5151,7089 is 715989.

LCM Formula to Find Lowest Common Multiple of 5151,7089

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.

5151 x 7089 = 36515439

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.

5151 : 1, 3, 17, 51, 101, 303, 1717, 5151

7089 : 1, 3, 17, 51, 139, 417, 2363, 7089

51 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5151,7089, is 51.

Now, the common factors can be found like this.

5151:3x 17x 101

7089:3x 17x 139

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 = 36515439/(51x1)

LCM = 36515439/51

LCM = 715989

Thus, we can understand that the LCM of 5151,7089 is 715989.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5151, 7089

1. What is the LCM of 5151, 7089?

Answer: LCM of 5151, 7089 is 715989.

2. How to calculate the LCM of 5151, 7089?

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 5151, 7089.

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}.