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LCM of 633, 380, 817, 817

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


Find the LCM of 633, 380, 817, 817 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, 380, 817, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,380,817,817

Given numbers are 633,380,817,817

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

The LCM of 633,380,817,817 is 10343220.

Find LCM of 633,380,817,817 with Prime Factorization


19 633, 380, 817, 817
43 633, 20, 43, 43
633, 20, 1, 1

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

19 x 43 x 633 x 20 x 1 x 1 = 10343220

Therefore, the lowest common multiple of 633,380,817,817 is 10343220.

LCM Formula to Find Lowest Common Multiple of 633,380,817,817

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 380 x 817 x 817 = 160557804060

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

817 : 1, 19, 43, 817

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,380,817,817, is 1.

Now, the common factors can be found like this.

633:3x 211

380:2x 2x 5x 19

817:19x 43

817:19x 43

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

19x 19x 43 = 15523

Therefore, the value for common factors is 15523.

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 = 160557804060/(1x15523)

LCM = 160557804060/15523

LCM = 10343220

Thus, we can understand that the LCM of 633,380,817,817 is 10343220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 380, 817, 817

1. What is the LCM of 633, 380, 817, 817?

Answer: LCM of 633, 380, 817, 817 is 10343220.

2. How to calculate the LCM of 633, 380, 817, 817?

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, 380, 817, 817.

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}.