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LCM of 796, 996, 608, 198, 821

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


Find the LCM of 796, 996, 608, 198, 821 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 796, 996, 608, 198, 821. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,996,608,198,821

Given numbers are 796,996,608,198,821

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

The LCM of 796,996,608,198,821 is 816231027744.

Find LCM of 796,996,608,198,821 with Prime Factorization


2 796, 996, 608, 198, 821
2 398, 498, 304, 99, 821
3 199, 249, 152, 99, 821
199, 83, 152, 33, 821

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

2 x 2 x 3 x 199 x 83 x 152 x 33 x 821 = 816231027744

Therefore, the lowest common multiple of 796,996,608,198,821 is 816231027744.

LCM Formula to Find Lowest Common Multiple of 796,996,608,198,821

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.

796 x 996 x 608 x 198 x 821 = 78358178663424

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.

796 : 1, 2, 4, 199, 398, 796

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,996,608,198,821, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

996:2x 2x 3x 83

608:2x 2x 2x 2x 2x 19

198:2x 3x 3x 11

821:821

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 2x 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 78358178663424/(1x96)

LCM = 78358178663424/96

LCM = 816231027744

Thus, we can understand that the LCM of 796,996,608,198,821 is 816231027744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 996, 608, 198, 821

1. What is the LCM of 796, 996, 608, 198, 821?

Answer: LCM of 796, 996, 608, 198, 821 is 816231027744.

2. How to calculate the LCM of 796, 996, 608, 198, 821?

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 796, 996, 608, 198, 821.

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}.