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LCM of 82, 31, 70, 62, 382

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


Find the LCM of 82, 31, 70, 62, 382 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 82, 31, 70, 62, 382. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 82,31,70,62,382

Given numbers are 82,31,70,62,382

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

The LCM of 82,31,70,62,382 is 16993270.

Find LCM of 82,31,70,62,382 with Prime Factorization


2 82, 31, 70, 62, 382
31 41, 31, 35, 31, 191
41, 1, 35, 1, 191

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

2 x 31 x 41 x 1 x 35 x 1 x 191 = 16993270

Therefore, the lowest common multiple of 82,31,70,62,382 is 16993270.

LCM Formula to Find Lowest Common Multiple of 82,31,70,62,382

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.

82 x 31 x 70 x 62 x 382 = 4214330960

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.

82 : 1, 2, 41, 82

31 : 1, 31

70 : 1, 2, 5, 7, 10, 14, 35, 70

62 : 1, 2, 31, 62

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 82,31,70,62,382, is 1.

Now, the common factors can be found like this.

82:2x 41

31:31

70:2x 5x 7

62:2x 31

382:2x 191

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 2x 31 = 248

Therefore, the value for common factors is 248.

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 = 4214330960/(1x248)

LCM = 4214330960/248

LCM = 16993270

Thus, we can understand that the LCM of 82,31,70,62,382 is 16993270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 82, 31, 70, 62, 382

1. What is the LCM of 82, 31, 70, 62, 382?

Answer: LCM of 82, 31, 70, 62, 382 is 16993270.

2. How to calculate the LCM of 82, 31, 70, 62, 382?

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 82, 31, 70, 62, 382.

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}.