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LCM of 132, 599, 259, 283, 682

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


Find the LCM of 132, 599, 259, 283, 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 132, 599, 259, 283, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 132,599,259,283,682

Given numbers are 132,599,259,283,682

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

The LCM of 132,599,259,283,682 is 179658863076.

Find LCM of 132,599,259,283,682 with Prime Factorization


2 132, 599, 259, 283, 682
11 66, 599, 259, 283, 341
6, 599, 259, 283, 31

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

2 x 11 x 6 x 599 x 259 x 283 x 31 = 179658863076

Therefore, the lowest common multiple of 132,599,259,283,682 is 179658863076.

LCM Formula to Find Lowest Common Multiple of 132,599,259,283,682

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.

132 x 599 x 259 x 283 x 682 = 3952494987672

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

599 : 1, 599

259 : 1, 7, 37, 259

283 : 1, 283

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 132,599,259,283,682, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

599:599

259:7x 37

283:283

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 11 = 22

Therefore, the value for common factors is 22.

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 = 3952494987672/(1x22)

LCM = 3952494987672/22

LCM = 179658863076

Thus, we can understand that the LCM of 132,599,259,283,682 is 179658863076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 132, 599, 259, 283, 682

1. What is the LCM of 132, 599, 259, 283, 682?

Answer: LCM of 132, 599, 259, 283, 682 is 179658863076.

2. How to calculate the LCM of 132, 599, 259, 283, 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 132, 599, 259, 283, 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}.