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LCM of 9717, 1299

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


Find the LCM of 9717, 1299 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 9717, 1299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9717,1299

Given numbers are 9717,1299

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

The LCM of 9717,1299 is 4207461.

Find LCM of 9717,1299 with Prime Factorization


3 9717, 1299
3239, 433

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

3 x 3239 x 433 = 4207461

Therefore, the lowest common multiple of 9717,1299 is 4207461.

LCM Formula to Find Lowest Common Multiple of 9717,1299

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.

9717 x 1299 = 12622383

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.

9717 : 1, 3, 41, 79, 123, 237, 3239, 9717

1299 : 1, 3, 433, 1299

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9717,1299, is 3.

Now, the common factors can be found like this.

9717:3x 41x 79

1299:3x 433

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 = 12622383/(3x1)

LCM = 12622383/3

LCM = 4207461

Thus, we can understand that the LCM of 9717,1299 is 4207461.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9717, 1299

1. What is the LCM of 9717, 1299?

Answer: LCM of 9717, 1299 is 4207461.

2. How to calculate the LCM of 9717, 1299?

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 9717, 1299.

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}.