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LCM of 382, 170, 295, 495, 408

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


Find the LCM of 382, 170, 295, 495, 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 382, 170, 295, 495, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,170,295,495,408

Given numbers are 382,170,295,495,408

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

The LCM of 382,170,295,495,408 is 758629080.

Find LCM of 382,170,295,495,408 with Prime Factorization


2 382, 170, 295, 495, 408
3 191, 85, 295, 495, 204
5 191, 85, 295, 165, 68
17 191, 17, 59, 33, 68
191, 1, 59, 33, 4

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

2 x 3 x 5 x 17 x 191 x 1 x 59 x 33 x 4 = 758629080

Therefore, the lowest common multiple of 382,170,295,495,408 is 758629080.

LCM Formula to Find Lowest Common Multiple of 382,170,295,495,408

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.

382 x 170 x 295 x 495 x 408 = 3869008308000

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.

382 : 1, 2, 191, 382

170 : 1, 2, 5, 10, 17, 34, 85, 170

295 : 1, 5, 59, 295

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 382,170,295,495,408, is 1.

Now, the common factors can be found like this.

382:2x 191

170:2x 5x 17

295:5x 59

495:3x 3x 5x 11

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.

2x 2x 3x 5x 5x 17 = 5100

Therefore, the value for common factors is 5100.

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 = 3869008308000/(1x5100)

LCM = 3869008308000/5100

LCM = 758629080

Thus, we can understand that the LCM of 382,170,295,495,408 is 758629080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 170, 295, 495, 408

1. What is the LCM of 382, 170, 295, 495, 408?

Answer: LCM of 382, 170, 295, 495, 408 is 758629080.

2. How to calculate the LCM of 382, 170, 295, 495, 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 382, 170, 295, 495, 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}.