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LCM of 633, 632, 628, 559

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


Find the LCM of 633, 632, 628, 559 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, 632, 628, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,632,628,559

Given numbers are 633,632,628,559

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

The LCM of 633,632,628,559 is 35110114728.

Find LCM of 633,632,628,559 with Prime Factorization


2 633, 632, 628, 559
2 633, 316, 314, 559
633, 158, 157, 559

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

2 x 2 x 633 x 158 x 157 x 559 = 35110114728

Therefore, the lowest common multiple of 633,632,628,559 is 35110114728.

LCM Formula to Find Lowest Common Multiple of 633,632,628,559

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 632 x 628 x 559 = 140440458912

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

632 : 1, 2, 4, 8, 79, 158, 316, 632

628 : 1, 2, 4, 157, 314, 628

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,632,628,559, is 1.

Now, the common factors can be found like this.

633:3x 211

632:2x 2x 2x 79

628:2x 2x 157

559:13x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 140440458912/(1x4)

LCM = 140440458912/4

LCM = 35110114728

Thus, we can understand that the LCM of 633,632,628,559 is 35110114728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 632, 628, 559

1. What is the LCM of 633, 632, 628, 559?

Answer: LCM of 633, 632, 628, 559 is 35110114728.

2. How to calculate the LCM of 633, 632, 628, 559?

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, 632, 628, 559.

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}.