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LCM of 793, 850, 187, 356

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


Find the LCM of 793, 850, 187, 356 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, 850, 187, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,850,187,356

Given numbers are 793,850,187,356

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

The LCM of 793,850,187,356 is 1319789900.

Find LCM of 793,850,187,356 with Prime Factorization


2 793, 850, 187, 356
17 793, 425, 187, 178
793, 25, 11, 178

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

2 x 17 x 793 x 25 x 11 x 178 = 1319789900

Therefore, the lowest common multiple of 793,850,187,356 is 1319789900.

LCM Formula to Find Lowest Common Multiple of 793,850,187,356

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 850 x 187 x 356 = 44872856600

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

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

187 : 1, 11, 17, 187

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,850,187,356, is 1.

Now, the common factors can be found like this.

793:13x 61

850:2x 5x 5x 17

187:11x 17

356:2x 2x 89

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 44872856600/(1x34)

LCM = 44872856600/34

LCM = 1319789900

Thus, we can understand that the LCM of 793,850,187,356 is 1319789900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 850, 187, 356

1. What is the LCM of 793, 850, 187, 356?

Answer: LCM of 793, 850, 187, 356 is 1319789900.

2. How to calculate the LCM of 793, 850, 187, 356?

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, 850, 187, 356.

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}.