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LCM of 639, 104, 124, 682

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


Find the LCM of 639, 104, 124, 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 639, 104, 124, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 639,104,124,682

Given numbers are 639,104,124,682

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

The LCM of 639,104,124,682 is 22661496.

Find LCM of 639,104,124,682 with Prime Factorization


2 639, 104, 124, 682
2 639, 52, 62, 341
31 639, 26, 31, 341
639, 26, 1, 11

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

2 x 2 x 31 x 639 x 26 x 1 x 11 = 22661496

Therefore, the lowest common multiple of 639,104,124,682 is 22661496.

LCM Formula to Find Lowest Common Multiple of 639,104,124,682

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.

639 x 104 x 124 x 682 = 5620051008

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.

639 : 1, 3, 9, 71, 213, 639

104 : 1, 2, 4, 8, 13, 26, 52, 104

124 : 1, 2, 4, 31, 62, 124

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 639,104,124,682, is 1.

Now, the common factors can be found like this.

639:3x 3x 71

104:2x 2x 2x 13

124:2x 2x 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 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 = 5620051008/(1x248)

LCM = 5620051008/248

LCM = 22661496

Thus, we can understand that the LCM of 639,104,124,682 is 22661496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 639, 104, 124, 682

1. What is the LCM of 639, 104, 124, 682?

Answer: LCM of 639, 104, 124, 682 is 22661496.

2. How to calculate the LCM of 639, 104, 124, 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 639, 104, 124, 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}.