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LCM of 636, 568, 731, 268

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


Find the LCM of 636, 568, 731, 268 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 636, 568, 731, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 636,568,731,268

Given numbers are 636,568,731,268

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

The LCM of 636,568,731,268 is 4423210824.

Find LCM of 636,568,731,268 with Prime Factorization


2 636, 568, 731, 268
2 318, 284, 731, 134
159, 142, 731, 67

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

2 x 2 x 159 x 142 x 731 x 67 = 4423210824

Therefore, the lowest common multiple of 636,568,731,268 is 4423210824.

LCM Formula to Find Lowest Common Multiple of 636,568,731,268

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.

636 x 568 x 731 x 268 = 70771373184

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.

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

568 : 1, 2, 4, 8, 71, 142, 284, 568

731 : 1, 17, 43, 731

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,568,731,268, is 1.

Now, the common factors can be found like this.

636:2x 2x 3x 53

568:2x 2x 2x 71

731:17x 43

268:2x 2x 67

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 2 = 16

Therefore, the value for common factors is 16.

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 = 70771373184/(1x16)

LCM = 70771373184/16

LCM = 4423210824

Thus, we can understand that the LCM of 636,568,731,268 is 4423210824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 636, 568, 731, 268

1. What is the LCM of 636, 568, 731, 268?

Answer: LCM of 636, 568, 731, 268 is 4423210824.

2. How to calculate the LCM of 636, 568, 731, 268?

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 636, 568, 731, 268.

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}.