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LCM of 244, 382, 793, 646

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


Find the LCM of 244, 382, 793, 646 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 244, 382, 793, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 244,382,793,646

Given numbers are 244,382,793,646

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

The LCM of 244,382,793,646 is 195690196.

Find LCM of 244,382,793,646 with Prime Factorization


2 244, 382, 793, 646
61 122, 191, 793, 323
2, 191, 13, 323

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

2 x 61 x 2 x 191 x 13 x 323 = 195690196

Therefore, the lowest common multiple of 244,382,793,646 is 195690196.

LCM Formula to Find Lowest Common Multiple of 244,382,793,646

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.

244 x 382 x 793 x 646 = 47748407824

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.

244 : 1, 2, 4, 61, 122, 244

382 : 1, 2, 191, 382

793 : 1, 13, 61, 793

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,382,793,646, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

382:2x 191

793:13x 61

646:2x 17x 19

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

2x 2x 61 = 244

Therefore, the value for common factors is 244.

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 = 47748407824/(1x244)

LCM = 47748407824/244

LCM = 195690196

Thus, we can understand that the LCM of 244,382,793,646 is 195690196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 244, 382, 793, 646

1. What is the LCM of 244, 382, 793, 646?

Answer: LCM of 244, 382, 793, 646 is 195690196.

2. How to calculate the LCM of 244, 382, 793, 646?

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 244, 382, 793, 646.

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}.