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LCM of 477, 199, 181, 361, 408

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


Find the LCM of 477, 199, 181, 361, 408 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 477, 199, 181, 361, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 477,199,181,361,408

Given numbers are 477,199,181,361,408

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

The LCM of 477,199,181,361,408 is 843521469048.

Find LCM of 477,199,181,361,408 with Prime Factorization


3 477, 199, 181, 361, 408
159, 199, 181, 361, 136

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

3 x 159 x 199 x 181 x 361 x 136 = 843521469048

Therefore, the lowest common multiple of 477,199,181,361,408 is 843521469048.

LCM Formula to Find Lowest Common Multiple of 477,199,181,361,408

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.

477 x 199 x 181 x 361 x 408 = 2530564407144

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.

477 : 1, 3, 9, 53, 159, 477

199 : 1, 199

181 : 1, 181

361 : 1, 19, 361

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,199,181,361,408, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

199:199

181:181

361:19x 19

408:2x 2x 2x 3x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 2530564407144/(1x3)

LCM = 2530564407144/3

LCM = 843521469048

Thus, we can understand that the LCM of 477,199,181,361,408 is 843521469048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 477, 199, 181, 361, 408

1. What is the LCM of 477, 199, 181, 361, 408?

Answer: LCM of 477, 199, 181, 361, 408 is 843521469048.

2. How to calculate the LCM of 477, 199, 181, 361, 408?

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 477, 199, 181, 361, 408.

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}.