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LCM of 198, 133, 997, 836, 849

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


Find the LCM of 198, 133, 997, 836, 849 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 198, 133, 997, 836, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,133,997,836,849

Given numbers are 198,133,997,836,849

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

The LCM of 198,133,997,836,849 is 14860328868.

Find LCM of 198,133,997,836,849 with Prime Factorization


2 198, 133, 997, 836, 849
3 99, 133, 997, 418, 849
11 33, 133, 997, 418, 283
19 3, 133, 997, 38, 283
3, 7, 997, 2, 283

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

2 x 3 x 11 x 19 x 3 x 7 x 997 x 2 x 283 = 14860328868

Therefore, the lowest common multiple of 198,133,997,836,849 is 14860328868.

LCM Formula to Find Lowest Common Multiple of 198,133,997,836,849

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.

198 x 133 x 997 x 836 x 849 = 18634852400472

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.

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

133 : 1, 7, 19, 133

997 : 1, 997

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,133,997,836,849, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

133:7x 19

997:997

836:2x 2x 11x 19

849:3x 283

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

2x 3x 11x 19 = 1254

Therefore, the value for common factors is 1254.

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 = 18634852400472/(1x1254)

LCM = 18634852400472/1254

LCM = 14860328868

Thus, we can understand that the LCM of 198,133,997,836,849 is 14860328868.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 133, 997, 836, 849

1. What is the LCM of 198, 133, 997, 836, 849?

Answer: LCM of 198, 133, 997, 836, 849 is 14860328868.

2. How to calculate the LCM of 198, 133, 997, 836, 849?

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 198, 133, 997, 836, 849.

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}.