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LCM of 187, 828, 923, 377

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


Find the LCM of 187, 828, 923, 377 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, 828, 923, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,828,923,377

Given numbers are 187,828,923,377

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

The LCM of 187,828,923,377 is 4144495212.

Find LCM of 187,828,923,377 with Prime Factorization


13 187, 828, 923, 377
187, 828, 71, 29

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

13 x 187 x 828 x 71 x 29 = 4144495212

Therefore, the lowest common multiple of 187,828,923,377 is 4144495212.

LCM Formula to Find Lowest Common Multiple of 187,828,923,377

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 828 x 923 x 377 = 53878437756

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

923 : 1, 13, 71, 923

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,828,923,377, is 1.

Now, the common factors can be found like this.

187:11x 17

828:2x 2x 3x 3x 23

923:13x 71

377:13x 29

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

13 = 13

Therefore, the value for common factors is 13.

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 = 53878437756/(1x13)

LCM = 53878437756/13

LCM = 4144495212

Thus, we can understand that the LCM of 187,828,923,377 is 4144495212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 828, 923, 377

1. What is the LCM of 187, 828, 923, 377?

Answer: LCM of 187, 828, 923, 377 is 4144495212.

2. How to calculate the LCM of 187, 828, 923, 377?

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, 828, 923, 377.

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}.