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LCM of 993, 676, 605, 921, 833

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


Find the LCM of 993, 676, 605, 921, 833 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 993, 676, 605, 921, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,676,605,921,833

Given numbers are 993,676,605,921,833

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

The LCM of 993,676,605,921,833 is 103856742329340.

Find LCM of 993,676,605,921,833 with Prime Factorization


3 993, 676, 605, 921, 833
331, 676, 605, 307, 833

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

3 x 331 x 676 x 605 x 307 x 833 = 103856742329340

Therefore, the lowest common multiple of 993,676,605,921,833 is 103856742329340.

LCM Formula to Find Lowest Common Multiple of 993,676,605,921,833

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.

993 x 676 x 605 x 921 x 833 = 311570226988020

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.

993 : 1, 3, 331, 993

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

605 : 1, 5, 11, 55, 121, 605

921 : 1, 3, 307, 921

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,676,605,921,833, is 1.

Now, the common factors can be found like this.

993:3x 331

676:2x 2x 13x 13

605:5x 11x 11

921:3x 307

833:7x 7x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 311570226988020/(1x3)

LCM = 311570226988020/3

LCM = 103856742329340

Thus, we can understand that the LCM of 993,676,605,921,833 is 103856742329340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 676, 605, 921, 833

1. What is the LCM of 993, 676, 605, 921, 833?

Answer: LCM of 993, 676, 605, 921, 833 is 103856742329340.

2. How to calculate the LCM of 993, 676, 605, 921, 833?

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 993, 676, 605, 921, 833.

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}.