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LCM of 187, 936, 598, 377, 890

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


Find the LCM of 187, 936, 598, 377, 890 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 187, 936, 598, 377, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,936,598,377,890

Given numbers are 187,936,598,377,890

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

The LCM of 187,936,598,377,890 is 51952123080.

Find LCM of 187,936,598,377,890 with Prime Factorization


2 187, 936, 598, 377, 890
13 187, 468, 299, 377, 445
187, 36, 23, 29, 445

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

2 x 13 x 187 x 36 x 23 x 29 x 445 = 51952123080

Therefore, the lowest common multiple of 187,936,598,377,890 is 51952123080.

LCM Formula to Find Lowest Common Multiple of 187,936,598,377,890

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.

187 x 936 x 598 x 377 x 890 = 35119635202080

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.

187 : 1, 11, 17, 187

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

598 : 1, 2, 13, 23, 26, 46, 299, 598

377 : 1, 13, 29, 377

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,936,598,377,890, is 1.

Now, the common factors can be found like this.

187:11x 17

936:2x 2x 2x 3x 3x 13

598:2x 13x 23

377:13x 29

890:2x 5x 89

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 35119635202080/(1x676)

LCM = 35119635202080/676

LCM = 51952123080

Thus, we can understand that the LCM of 187,936,598,377,890 is 51952123080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 936, 598, 377, 890

1. What is the LCM of 187, 936, 598, 377, 890?

Answer: LCM of 187, 936, 598, 377, 890 is 51952123080.

2. How to calculate the LCM of 187, 936, 598, 377, 890?

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 187, 936, 598, 377, 890.

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}.