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LCM of 182, 606, 884, 338, 671

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


Find the LCM of 182, 606, 884, 338, 671 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, 606, 884, 338, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,606,884,338,671

Given numbers are 182,606,884,338,671

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

The LCM of 182,606,884,338,671 is 16355310972.

Find LCM of 182,606,884,338,671 with Prime Factorization


2 182, 606, 884, 338, 671
13 91, 303, 442, 169, 671
7, 303, 34, 13, 671

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

2 x 13 x 7 x 303 x 34 x 13 x 671 = 16355310972

Therefore, the lowest common multiple of 182,606,884,338,671 is 16355310972.

LCM Formula to Find Lowest Common Multiple of 182,606,884,338,671

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 606 x 884 x 338 x 671 = 22112380434144

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

606 : 1, 2, 3, 6, 101, 202, 303, 606

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

338 : 1, 2, 13, 26, 169, 338

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,606,884,338,671, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

606:2x 3x 101

884:2x 2x 13x 17

338:2x 13x 13

671:11x 61

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 22112380434144/(1x1352)

LCM = 22112380434144/1352

LCM = 16355310972

Thus, we can understand that the LCM of 182,606,884,338,671 is 16355310972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 606, 884, 338, 671

1. What is the LCM of 182, 606, 884, 338, 671?

Answer: LCM of 182, 606, 884, 338, 671 is 16355310972.

2. How to calculate the LCM of 182, 606, 884, 338, 671?

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, 606, 884, 338, 671.

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}.