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LCM of 194, 970, 927, 988, 676

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


Find the LCM of 194, 970, 927, 988, 676 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, 970, 927, 988, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 194,970,927,988,676

Given numbers are 194,970,927,988,676

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

The LCM of 194,970,927,988,676 is 5774598180.

Find LCM of 194,970,927,988,676 with Prime Factorization


2 194, 970, 927, 988, 676
2 97, 485, 927, 494, 338
13 97, 485, 927, 247, 169
97 97, 485, 927, 19, 13
1, 5, 927, 19, 13

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

2 x 2 x 13 x 97 x 1 x 5 x 927 x 19 x 13 = 5774598180

Therefore, the lowest common multiple of 194,970,927,988,676 is 5774598180.

LCM Formula to Find Lowest Common Multiple of 194,970,927,988,676

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 970 x 927 x 988 x 676 = 116508292879680

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

927 : 1, 3, 9, 103, 309, 927

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,970,927,988,676, is 1.

Now, the common factors can be found like this.

194:2x 97

970:2x 5x 97

927:3x 3x 103

988:2x 2x 13x 19

676:2x 2x 13x 13

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 13x 97 = 20176

Therefore, the value for common factors is 20176.

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 = 116508292879680/(1x20176)

LCM = 116508292879680/20176

LCM = 5774598180

Thus, we can understand that the LCM of 194,970,927,988,676 is 5774598180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 194, 970, 927, 988, 676

1. What is the LCM of 194, 970, 927, 988, 676?

Answer: LCM of 194, 970, 927, 988, 676 is 5774598180.

2. How to calculate the LCM of 194, 970, 927, 988, 676?

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, 970, 927, 988, 676.

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}.