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LCM of 194, 836, 681, 102

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


Find the LCM of 194, 836, 681, 102 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 194, 836, 681, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 194,836,681,102

Given numbers are 194,836,681,102

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

The LCM of 194,836,681,102 is 938802084.

Find LCM of 194,836,681,102 with Prime Factorization


2 194, 836, 681, 102
3 97, 418, 681, 51
97, 418, 227, 17

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

2 x 3 x 97 x 418 x 227 x 17 = 938802084

Therefore, the lowest common multiple of 194,836,681,102 is 938802084.

LCM Formula to Find Lowest Common Multiple of 194,836,681,102

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.

194 x 836 x 681 x 102 = 11265625008

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.

194 : 1, 2, 97, 194

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

681 : 1, 3, 227, 681

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,836,681,102, is 1.

Now, the common factors can be found like this.

194:2x 97

836:2x 2x 11x 19

681:3x 227

102:2x 3x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 11265625008/(1x12)

LCM = 11265625008/12

LCM = 938802084

Thus, we can understand that the LCM of 194,836,681,102 is 938802084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 194, 836, 681, 102

1. What is the LCM of 194, 836, 681, 102?

Answer: LCM of 194, 836, 681, 102 is 938802084.

2. How to calculate the LCM of 194, 836, 681, 102?

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 194, 836, 681, 102.

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}.