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LCM of 633, 488, 305, 268

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


Find the LCM of 633, 488, 305, 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 633, 488, 305, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,488,305,268

Given numbers are 633,488,305,268

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

The LCM of 633,488,305,268 is 103482840.

Find LCM of 633,488,305,268 with Prime Factorization


2 633, 488, 305, 268
2 633, 244, 305, 134
61 633, 122, 305, 67
633, 2, 5, 67

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

2 x 2 x 61 x 633 x 2 x 5 x 67 = 103482840

Therefore, the lowest common multiple of 633,488,305,268 is 103482840.

LCM Formula to Find Lowest Common Multiple of 633,488,305,268

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.

633 x 488 x 305 x 268 = 25249812960

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.

633 : 1, 3, 211, 633

488 : 1, 2, 4, 8, 61, 122, 244, 488

305 : 1, 5, 61, 305

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 633,488,305,268, is 1.

Now, the common factors can be found like this.

633:3x 211

488:2x 2x 2x 61

305:5x 61

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 61 = 244

Therefore, the value for common factors is 244.

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 = 25249812960/(1x244)

LCM = 25249812960/244

LCM = 103482840

Thus, we can understand that the LCM of 633,488,305,268 is 103482840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 488, 305, 268

1. What is the LCM of 633, 488, 305, 268?

Answer: LCM of 633, 488, 305, 268 is 103482840.

2. How to calculate the LCM of 633, 488, 305, 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 633, 488, 305, 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}.