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LCM of 866, 255, 481, 221

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


Find the LCM of 866, 255, 481, 221 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, 255, 481, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 866,255,481,221

Given numbers are 866,255,481,221

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

The LCM of 866,255,481,221 is 106219230.

Find LCM of 866,255,481,221 with Prime Factorization


13 866, 255, 481, 221
17 866, 255, 37, 17
866, 15, 37, 1

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

13 x 17 x 866 x 15 x 37 x 1 = 106219230

Therefore, the lowest common multiple of 866,255,481,221 is 106219230.

LCM Formula to Find Lowest Common Multiple of 866,255,481,221

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 255 x 481 x 221 = 23474449830

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

255 : 1, 3, 5, 15, 17, 51, 85, 255

481 : 1, 13, 37, 481

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,255,481,221, is 1.

Now, the common factors can be found like this.

866:2x 433

255:3x 5x 17

481:13x 37

221:13x 17

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 23474449830/(1x221)

LCM = 23474449830/221

LCM = 106219230

Thus, we can understand that the LCM of 866,255,481,221 is 106219230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 866, 255, 481, 221

1. What is the LCM of 866, 255, 481, 221?

Answer: LCM of 866, 255, 481, 221 is 106219230.

2. How to calculate the LCM of 866, 255, 481, 221?

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, 255, 481, 221.

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}.