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LCM of 979, 299, 467, 999, 768

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


Find the LCM of 979, 299, 467, 999, 768 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 979, 299, 467, 999, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,299,467,999,768

Given numbers are 979,299,467,999,768

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

The LCM of 979,299,467,999,768 is 34960385611008.

Find LCM of 979,299,467,999,768 with Prime Factorization


3 979, 299, 467, 999, 768
979, 299, 467, 333, 256

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

3 x 979 x 299 x 467 x 333 x 256 = 34960385611008

Therefore, the lowest common multiple of 979,299,467,999,768 is 34960385611008.

LCM Formula to Find Lowest Common Multiple of 979,299,467,999,768

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.

979 x 299 x 467 x 999 x 768 = 104881156833024

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.

979 : 1, 11, 89, 979

299 : 1, 13, 23, 299

467 : 1, 467

999 : 1, 3, 9, 27, 37, 111, 333, 999

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,299,467,999,768, is 1.

Now, the common factors can be found like this.

979:11x 89

299:13x 23

467:467

999:3x 3x 3x 37

768:2x 2x 2x 2x 2x 2x 2x 2x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 104881156833024/(1x3)

LCM = 104881156833024/3

LCM = 34960385611008

Thus, we can understand that the LCM of 979,299,467,999,768 is 34960385611008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 299, 467, 999, 768

1. What is the LCM of 979, 299, 467, 999, 768?

Answer: LCM of 979, 299, 467, 999, 768 is 34960385611008.

2. How to calculate the LCM of 979, 299, 467, 999, 768?

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 979, 299, 467, 999, 768.

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}.