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LCM of 793, 223, 929, 330, 998

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


Find the LCM of 793, 223, 929, 330, 998 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, 223, 929, 330, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,223,929,330,998

Given numbers are 793,223,929,330,998

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

The LCM of 793,223,929,330,998 is 27052552582770.

Find LCM of 793,223,929,330,998 with Prime Factorization


2 793, 223, 929, 330, 998
793, 223, 929, 165, 499

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

2 x 793 x 223 x 929 x 165 x 499 = 27052552582770

Therefore, the lowest common multiple of 793,223,929,330,998 is 27052552582770.

LCM Formula to Find Lowest Common Multiple of 793,223,929,330,998

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 223 x 929 x 330 x 998 = 54105105165540

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

223 : 1, 223

929 : 1, 929

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,223,929,330,998, is 1.

Now, the common factors can be found like this.

793:13x 61

223:223

929:929

330:2x 3x 5x 11

998:2x 499

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

2 = 2

Therefore, the value for common factors is 2.

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 = 54105105165540/(1x2)

LCM = 54105105165540/2

LCM = 27052552582770

Thus, we can understand that the LCM of 793,223,929,330,998 is 27052552582770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 223, 929, 330, 998

1. What is the LCM of 793, 223, 929, 330, 998?

Answer: LCM of 793, 223, 929, 330, 998 is 27052552582770.

2. How to calculate the LCM of 793, 223, 929, 330, 998?

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, 223, 929, 330, 998.

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}.