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LCM of 646, 705, 294, 793

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


Find the LCM of 646, 705, 294, 793 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 646, 705, 294, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,705,294,793

Given numbers are 646,705,294,793

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

The LCM of 646,705,294,793 is 17696643510.

Find LCM of 646,705,294,793 with Prime Factorization


2 646, 705, 294, 793
3 323, 705, 147, 793
323, 235, 49, 793

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

2 x 3 x 323 x 235 x 49 x 793 = 17696643510

Therefore, the lowest common multiple of 646,705,294,793 is 17696643510.

LCM Formula to Find Lowest Common Multiple of 646,705,294,793

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.

646 x 705 x 294 x 793 = 106179861060

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.

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

705 : 1, 3, 5, 15, 47, 141, 235, 705

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,705,294,793, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

705:3x 5x 47

294:2x 3x 7x 7

793:13x 61

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 106179861060/(1x6)

LCM = 106179861060/6

LCM = 17696643510

Thus, we can understand that the LCM of 646,705,294,793 is 17696643510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 705, 294, 793

1. What is the LCM of 646, 705, 294, 793?

Answer: LCM of 646, 705, 294, 793 is 17696643510.

2. How to calculate the LCM of 646, 705, 294, 793?

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 646, 705, 294, 793.

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}.