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LCM of 7767, 5253

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


Find the LCM of 7767, 5253 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 7767, 5253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7767,5253

Given numbers are 7767,5253

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

The LCM of 7767,5253 is 13600017.

Find LCM of 7767,5253 with Prime Factorization


3 7767, 5253
2589, 1751

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

3 x 2589 x 1751 = 13600017

Therefore, the lowest common multiple of 7767,5253 is 13600017.

LCM Formula to Find Lowest Common Multiple of 7767,5253

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.

7767 x 5253 = 40800051

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.

7767 : 1, 3, 9, 863, 2589, 7767

5253 : 1, 3, 17, 51, 103, 309, 1751, 5253

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7767,5253, is 3.

Now, the common factors can be found like this.

7767:3x 3x 863

5253:3x 17x 103

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 = 40800051/(3x1)

LCM = 40800051/3

LCM = 13600017

Thus, we can understand that the LCM of 7767,5253 is 13600017.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7767, 5253

1. What is the LCM of 7767, 5253?

Answer: LCM of 7767, 5253 is 13600017.

2. How to calculate the LCM of 7767, 5253?

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 7767, 5253.

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}.