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LCM of 999, 222, 247, 584, 191

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


Find the LCM of 999, 222, 247, 584, 191 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 999, 222, 247, 584, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 999,222,247,584,191

Given numbers are 999,222,247,584,191

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

The LCM of 999,222,247,584,191 is 27523816632.

Find LCM of 999,222,247,584,191 with Prime Factorization


2 999, 222, 247, 584, 191
3 999, 111, 247, 292, 191
37 333, 37, 247, 292, 191
9, 1, 247, 292, 191

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

2 x 3 x 37 x 9 x 1 x 247 x 292 x 191 = 27523816632

Therefore, the lowest common multiple of 999,222,247,584,191 is 27523816632.

LCM Formula to Find Lowest Common Multiple of 999,222,247,584,191

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.

999 x 222 x 247 x 584 x 191 = 6110287292304

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.

999 : 1, 3, 9, 27, 37, 111, 333, 999

222 : 1, 2, 3, 6, 37, 74, 111, 222

247 : 1, 13, 19, 247

584 : 1, 2, 4, 8, 73, 146, 292, 584

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,222,247,584,191, is 1.

Now, the common factors can be found like this.

999:3x 3x 3x 37

222:2x 3x 37

247:13x 19

584:2x 2x 2x 73

191:191

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

2x 3x 37 = 222

Therefore, the value for common factors is 222.

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 = 6110287292304/(1x222)

LCM = 6110287292304/222

LCM = 27523816632

Thus, we can understand that the LCM of 999,222,247,584,191 is 27523816632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 999, 222, 247, 584, 191

1. What is the LCM of 999, 222, 247, 584, 191?

Answer: LCM of 999, 222, 247, 584, 191 is 27523816632.

2. How to calculate the LCM of 999, 222, 247, 584, 191?

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 999, 222, 247, 584, 191.

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}.