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LCM of 411, 435, 489, 867, 427

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


Find the LCM of 411, 435, 489, 867, 427 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 411, 435, 489, 867, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,435,489,867,427

Given numbers are 411,435,489,867,427

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

The LCM of 411,435,489,867,427 is 1198734890955.

Find LCM of 411,435,489,867,427 with Prime Factorization


3 411, 435, 489, 867, 427
137, 145, 163, 289, 427

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

3 x 137 x 145 x 163 x 289 x 427 = 1198734890955

Therefore, the lowest common multiple of 411,435,489,867,427 is 1198734890955.

LCM Formula to Find Lowest Common Multiple of 411,435,489,867,427

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.

411 x 435 x 489 x 867 x 427 = 32365842055785

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.

411 : 1, 3, 137, 411

435 : 1, 3, 5, 15, 29, 87, 145, 435

489 : 1, 3, 163, 489

867 : 1, 3, 17, 51, 289, 867

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,435,489,867,427, is 1.

Now, the common factors can be found like this.

411:3x 137

435:3x 5x 29

489:3x 163

867:3x 17x 17

427:7x 61

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 32365842055785/(1x27)

LCM = 32365842055785/27

LCM = 1198734890955

Thus, we can understand that the LCM of 411,435,489,867,427 is 1198734890955.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 435, 489, 867, 427

1. What is the LCM of 411, 435, 489, 867, 427?

Answer: LCM of 411, 435, 489, 867, 427 is 1198734890955.

2. How to calculate the LCM of 411, 435, 489, 867, 427?

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 411, 435, 489, 867, 427.

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}.