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LCM of 793, 698, 363, 200

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


Find the LCM of 793, 698, 363, 200 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, 698, 363, 200. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,698,363,200

Given numbers are 793,698,363,200

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

The LCM of 793,698,363,200 is 20092558200.

Find LCM of 793,698,363,200 with Prime Factorization


2 793, 698, 363, 200
793, 349, 363, 100

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

2 x 793 x 349 x 363 x 100 = 20092558200

Therefore, the lowest common multiple of 793,698,363,200 is 20092558200.

LCM Formula to Find Lowest Common Multiple of 793,698,363,200

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 698 x 363 x 200 = 40185116400

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

698 : 1, 2, 349, 698

363 : 1, 3, 11, 33, 121, 363

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,698,363,200, is 1.

Now, the common factors can be found like this.

793:13x 61

698:2x 349

363:3x 11x 11

200:2x 2x 2x 5x 5

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 = 40185116400/(1x2)

LCM = 40185116400/2

LCM = 20092558200

Thus, we can understand that the LCM of 793,698,363,200 is 20092558200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 698, 363, 200

1. What is the LCM of 793, 698, 363, 200?

Answer: LCM of 793, 698, 363, 200 is 20092558200.

2. How to calculate the LCM of 793, 698, 363, 200?

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, 698, 363, 200.

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}.