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LCM of 187, 957, 885, 842, 339

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


Find the LCM of 187, 957, 885, 842, 339 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, 957, 885, 842, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,957,885,842,339

Given numbers are 187,957,885,842,339

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

The LCM of 187,957,885,842,339 is 456639430830.

Find LCM of 187,957,885,842,339 with Prime Factorization


3 187, 957, 885, 842, 339
11 187, 319, 295, 842, 113
17, 29, 295, 842, 113

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

3 x 11 x 17 x 29 x 295 x 842 x 113 = 456639430830

Therefore, the lowest common multiple of 187,957,885,842,339 is 456639430830.

LCM Formula to Find Lowest Common Multiple of 187,957,885,842,339

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 957 x 885 x 842 x 339 = 45207303652170

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

957 : 1, 3, 11, 29, 33, 87, 319, 957

885 : 1, 3, 5, 15, 59, 177, 295, 885

842 : 1, 2, 421, 842

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,957,885,842,339, is 1.

Now, the common factors can be found like this.

187:11x 17

957:3x 11x 29

885:3x 5x 59

842:2x 421

339:3x 113

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

3x 3x 11 = 99

Therefore, the value for common factors is 99.

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 = 45207303652170/(1x99)

LCM = 45207303652170/99

LCM = 456639430830

Thus, we can understand that the LCM of 187,957,885,842,339 is 456639430830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 957, 885, 842, 339

1. What is the LCM of 187, 957, 885, 842, 339?

Answer: LCM of 187, 957, 885, 842, 339 is 456639430830.

2. How to calculate the LCM of 187, 957, 885, 842, 339?

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, 957, 885, 842, 339.

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}.