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LCM of 191, 573, 361, 882, 376

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


Find the LCM of 191, 573, 361, 882, 376 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 191, 573, 361, 882, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 191,573,361,882,376

Given numbers are 191,573,361,882,376

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

The LCM of 191,573,361,882,376 is 11433179016.

Find LCM of 191,573,361,882,376 with Prime Factorization


2 191, 573, 361, 882, 376
3 191, 573, 361, 441, 188
191 191, 191, 361, 147, 188
1, 1, 361, 147, 188

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

2 x 3 x 191 x 1 x 1 x 361 x 147 x 188 = 11433179016

Therefore, the lowest common multiple of 191,573,361,882,376 is 11433179016.

LCM Formula to Find Lowest Common Multiple of 191,573,361,882,376

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.

191 x 573 x 361 x 882 x 376 = 13102423152336

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.

191 : 1, 191

573 : 1, 3, 191, 573

361 : 1, 19, 361

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,573,361,882,376, is 1.

Now, the common factors can be found like this.

191:191

573:3x 191

361:19x 19

882:2x 3x 3x 7x 7

376:2x 2x 2x 47

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 191 = 1146

Therefore, the value for common factors is 1146.

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 = 13102423152336/(1x1146)

LCM = 13102423152336/1146

LCM = 11433179016

Thus, we can understand that the LCM of 191,573,361,882,376 is 11433179016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 191, 573, 361, 882, 376

1. What is the LCM of 191, 573, 361, 882, 376?

Answer: LCM of 191, 573, 361, 882, 376 is 11433179016.

2. How to calculate the LCM of 191, 573, 361, 882, 376?

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 191, 573, 361, 882, 376.

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}.