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LCM of 187, 381, 901, 424

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


Find the LCM of 187, 381, 901, 424 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, 381, 901, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,381,901,424

Given numbers are 187,381,901,424

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

The LCM of 187,381,901,424 is 30208728.

Find LCM of 187,381,901,424 with Prime Factorization


17 187, 381, 901, 424
53 11, 381, 53, 424
11, 381, 1, 8

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

17 x 53 x 11 x 381 x 1 x 8 = 30208728

Therefore, the lowest common multiple of 187,381,901,424 is 30208728.

LCM Formula to Find Lowest Common Multiple of 187,381,901,424

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 381 x 901 x 424 = 27218063928

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

381 : 1, 3, 127, 381

901 : 1, 17, 53, 901

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,381,901,424, is 1.

Now, the common factors can be found like this.

187:11x 17

381:3x 127

901:17x 53

424:2x 2x 2x 53

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

17x 53 = 901

Therefore, the value for common factors is 901.

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 = 27218063928/(1x901)

LCM = 27218063928/901

LCM = 30208728

Thus, we can understand that the LCM of 187,381,901,424 is 30208728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 381, 901, 424

1. What is the LCM of 187, 381, 901, 424?

Answer: LCM of 187, 381, 901, 424 is 30208728.

2. How to calculate the LCM of 187, 381, 901, 424?

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, 381, 901, 424.

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}.