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LCM of 341, 589, 441, 191, 218

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


Find the LCM of 341, 589, 441, 191, 218 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 341, 589, 441, 191, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,589,441,191,218

Given numbers are 341,589,441,191,218

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

The LCM of 341,589,441,191,218 is 118969717482.

Find LCM of 341,589,441,191,218 with Prime Factorization


31 341, 589, 441, 191, 218
11, 19, 441, 191, 218

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

31 x 11 x 19 x 441 x 191 x 218 = 118969717482

Therefore, the lowest common multiple of 341,589,441,191,218 is 118969717482.

LCM Formula to Find Lowest Common Multiple of 341,589,441,191,218

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.

341 x 589 x 441 x 191 x 218 = 3688061241942

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.

341 : 1, 11, 31, 341

589 : 1, 19, 31, 589

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

191 : 1, 191

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,589,441,191,218, is 1.

Now, the common factors can be found like this.

341:11x 31

589:19x 31

441:3x 3x 7x 7

191:191

218:2x 109

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

31 = 31

Therefore, the value for common factors is 31.

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 = 3688061241942/(1x31)

LCM = 3688061241942/31

LCM = 118969717482

Thus, we can understand that the LCM of 341,589,441,191,218 is 118969717482.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 589, 441, 191, 218

1. What is the LCM of 341, 589, 441, 191, 218?

Answer: LCM of 341, 589, 441, 191, 218 is 118969717482.

2. How to calculate the LCM of 341, 589, 441, 191, 218?

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 341, 589, 441, 191, 218.

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}.