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LCM of 793, 661, 299, 644

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


Find the LCM of 793, 661, 299, 644 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 793, 661, 299, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,661,299,644

Given numbers are 793,661,299,644

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

The LCM of 793,661,299,644 is 337567412.

Find LCM of 793,661,299,644 with Prime Factorization


13 793, 661, 299, 644
23 61, 661, 23, 644
61, 661, 1, 28

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

13 x 23 x 61 x 661 x 1 x 28 = 337567412

Therefore, the lowest common multiple of 793,661,299,644 is 337567412.

LCM Formula to Find Lowest Common Multiple of 793,661,299,644

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.

793 x 661 x 299 x 644 = 100932656188

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.

793 : 1, 13, 61, 793

661 : 1, 661

299 : 1, 13, 23, 299

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,661,299,644, is 1.

Now, the common factors can be found like this.

793:13x 61

661:661

299:13x 23

644:2x 2x 7x 23

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 100932656188/(1x299)

LCM = 100932656188/299

LCM = 337567412

Thus, we can understand that the LCM of 793,661,299,644 is 337567412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 661, 299, 644

1. What is the LCM of 793, 661, 299, 644?

Answer: LCM of 793, 661, 299, 644 is 337567412.

2. How to calculate the LCM of 793, 661, 299, 644?

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 793, 661, 299, 644.

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}.