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LCM of 182, 589, 788, 417, 966

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


Find the LCM of 182, 589, 788, 417, 966 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 182, 589, 788, 417, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,589,788,417,966

Given numbers are 182,589,788,417,966

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

The LCM of 182,589,788,417,966 is 405085591092.

Find LCM of 182,589,788,417,966 with Prime Factorization


2 182, 589, 788, 417, 966
3 91, 589, 394, 417, 483
7 91, 589, 394, 139, 161
13, 589, 394, 139, 23

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

2 x 3 x 7 x 13 x 589 x 394 x 139 x 23 = 405085591092

Therefore, the lowest common multiple of 182,589,788,417,966 is 405085591092.

LCM Formula to Find Lowest Common Multiple of 182,589,788,417,966

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.

182 x 589 x 788 x 417 x 966 = 34027189651728

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

589 : 1, 19, 31, 589

788 : 1, 2, 4, 197, 394, 788

417 : 1, 3, 139, 417

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,589,788,417,966, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

589:19x 31

788:2x 2x 197

417:3x 139

966:2x 3x 7x 23

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 7 = 84

Therefore, the value for common factors is 84.

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 = 34027189651728/(1x84)

LCM = 34027189651728/84

LCM = 405085591092

Thus, we can understand that the LCM of 182,589,788,417,966 is 405085591092.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 589, 788, 417, 966

1. What is the LCM of 182, 589, 788, 417, 966?

Answer: LCM of 182, 589, 788, 417, 966 is 405085591092.

2. How to calculate the LCM of 182, 589, 788, 417, 966?

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 182, 589, 788, 417, 966.

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}.