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LCM of 166, 688, 531, 403, 682

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


Find the LCM of 166, 688, 531, 403, 682 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 166, 688, 531, 403, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 166,688,531,403,682

Given numbers are 166,688,531,403,682

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

The LCM of 166,688,531,403,682 is 134418418992.

Find LCM of 166,688,531,403,682 with Prime Factorization


2 166, 688, 531, 403, 682
31 83, 344, 531, 403, 341
83, 344, 531, 13, 11

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

2 x 31 x 83 x 344 x 531 x 13 x 11 = 134418418992

Therefore, the lowest common multiple of 166,688,531,403,682 is 134418418992.

LCM Formula to Find Lowest Common Multiple of 166,688,531,403,682

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.

166 x 688 x 531 x 403 x 682 = 16667883955008

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.

166 : 1, 2, 83, 166

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

531 : 1, 3, 9, 59, 177, 531

403 : 1, 13, 31, 403

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,688,531,403,682, is 1.

Now, the common factors can be found like this.

166:2x 83

688:2x 2x 2x 2x 43

531:3x 3x 59

403:13x 31

682:2x 11x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 16667883955008/(1x124)

LCM = 16667883955008/124

LCM = 134418418992

Thus, we can understand that the LCM of 166,688,531,403,682 is 134418418992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 166, 688, 531, 403, 682

1. What is the LCM of 166, 688, 531, 403, 682?

Answer: LCM of 166, 688, 531, 403, 682 is 134418418992.

2. How to calculate the LCM of 166, 688, 531, 403, 682?

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 166, 688, 531, 403, 682.

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}.