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LCM of 633, 758, 253, 253, 772

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


Find the LCM of 633, 758, 253, 253, 772 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, 758, 253, 253, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,758,253,253,772

Given numbers are 633,758,253,253,772

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

The LCM of 633,758,253,253,772 is 46857675612.

Find LCM of 633,758,253,253,772 with Prime Factorization


2 633, 758, 253, 253, 772
11 633, 379, 253, 253, 386
23 633, 379, 23, 23, 386
633, 379, 1, 1, 386

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

2 x 11 x 23 x 633 x 379 x 1 x 1 x 386 = 46857675612

Therefore, the lowest common multiple of 633,758,253,253,772 is 46857675612.

LCM Formula to Find Lowest Common Multiple of 633,758,253,253,772

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 758 x 253 x 253 x 772 = 23709983859672

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

758 : 1, 2, 379, 758

253 : 1, 11, 23, 253

253 : 1, 11, 23, 253

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,758,253,253,772, is 1.

Now, the common factors can be found like this.

633:3x 211

758:2x 379

253:11x 23

253:11x 23

772:2x 2x 193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 23 = 506

Therefore, the value for common factors is 506.

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 = 23709983859672/(1x506)

LCM = 23709983859672/506

LCM = 46857675612

Thus, we can understand that the LCM of 633,758,253,253,772 is 46857675612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 758, 253, 253, 772

1. What is the LCM of 633, 758, 253, 253, 772?

Answer: LCM of 633, 758, 253, 253, 772 is 46857675612.

2. How to calculate the LCM of 633, 758, 253, 253, 772?

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, 758, 253, 253, 772.

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}.