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LCM of 866, 393, 793, 221, 850

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


Find the LCM of 866, 393, 793, 221, 850 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 866, 393, 793, 221, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 866,393,793,221,850

Given numbers are 866,393,793,221,850

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

The LCM of 866,393,793,221,850 is 114702414450.

Find LCM of 866,393,793,221,850 with Prime Factorization


2 866, 393, 793, 221, 850
13 433, 393, 793, 221, 425
17 433, 393, 61, 17, 425
433, 393, 61, 1, 25

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

2 x 13 x 17 x 433 x 393 x 61 x 1 x 25 = 114702414450

Therefore, the lowest common multiple of 866,393,793,221,850 is 114702414450.

LCM Formula to Find Lowest Common Multiple of 866,393,793,221,850

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.

866 x 393 x 793 x 221 x 850 = 50698467186900

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.

866 : 1, 2, 433, 866

393 : 1, 3, 131, 393

793 : 1, 13, 61, 793

221 : 1, 13, 17, 221

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,393,793,221,850, is 1.

Now, the common factors can be found like this.

866:2x 433

393:3x 131

793:13x 61

221:13x 17

850:2x 5x 5x 17

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 50698467186900/(1x442)

LCM = 50698467186900/442

LCM = 114702414450

Thus, we can understand that the LCM of 866,393,793,221,850 is 114702414450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 866, 393, 793, 221, 850

1. What is the LCM of 866, 393, 793, 221, 850?

Answer: LCM of 866, 393, 793, 221, 850 is 114702414450.

2. How to calculate the LCM of 866, 393, 793, 221, 850?

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 866, 393, 793, 221, 850.

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}.