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LCM of 793, 194, 970, 535

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


Find the LCM of 793, 194, 970, 535 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, 194, 970, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,194,970,535

Given numbers are 793,194,970,535

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

The LCM of 793,194,970,535 is 82305470.

Find LCM of 793,194,970,535 with Prime Factorization


2 793, 194, 970, 535
5 793, 97, 485, 535
97 793, 97, 97, 107
793, 1, 1, 107

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

2 x 5 x 97 x 793 x 1 x 1 x 107 = 82305470

Therefore, the lowest common multiple of 793,194,970,535 is 82305470.

LCM Formula to Find Lowest Common Multiple of 793,194,970,535

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 194 x 970 x 535 = 79836305900

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

194 : 1, 2, 97, 194

970 : 1, 2, 5, 10, 97, 194, 485, 970

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,194,970,535, is 1.

Now, the common factors can be found like this.

793:13x 61

194:2x 97

970:2x 5x 97

535:5x 107

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

2x 5x 97 = 970

Therefore, the value for common factors is 970.

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 = 79836305900/(1x970)

LCM = 79836305900/970

LCM = 82305470

Thus, we can understand that the LCM of 793,194,970,535 is 82305470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 194, 970, 535

1. What is the LCM of 793, 194, 970, 535?

Answer: LCM of 793, 194, 970, 535 is 82305470.

2. How to calculate the LCM of 793, 194, 970, 535?

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, 194, 970, 535.

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}.