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LCM of 869, 793, 793, 250

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


Find the LCM of 869, 793, 793, 250 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 869, 793, 793, 250. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,793,793,250

Given numbers are 869,793,793,250

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

The LCM of 869,793,793,250 is 172279250.

Find LCM of 869,793,793,250 with Prime Factorization


13 869, 793, 793, 250
61 869, 61, 61, 250
869, 1, 1, 250

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

13 x 61 x 869 x 1 x 1 x 250 = 172279250

Therefore, the lowest common multiple of 869,793,793,250 is 172279250.

LCM Formula to Find Lowest Common Multiple of 869,793,793,250

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.

869 x 793 x 793 x 250 = 136617445250

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.

869 : 1, 11, 79, 869

793 : 1, 13, 61, 793

793 : 1, 13, 61, 793

250 : 1, 2, 5, 10, 25, 50, 125, 250

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,793,793,250, is 1.

Now, the common factors can be found like this.

869:11x 79

793:13x 61

793:13x 61

250:2x 5x 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.

13x 61 = 793

Therefore, the value for common factors is 793.

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 = 136617445250/(1x793)

LCM = 136617445250/793

LCM = 172279250

Thus, we can understand that the LCM of 869,793,793,250 is 172279250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 793, 793, 250

1. What is the LCM of 869, 793, 793, 250?

Answer: LCM of 869, 793, 793, 250 is 172279250.

2. How to calculate the LCM of 869, 793, 793, 250?

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 869, 793, 793, 250.

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}.