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LCM of 431, 513, 976, 187, 842

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


Find the LCM of 431, 513, 976, 187, 842 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 431, 513, 976, 187, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,513,976,187,842

Given numbers are 431,513,976,187,842

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

The LCM of 431,513,976,187,842 is 16989013259856.

Find LCM of 431,513,976,187,842 with Prime Factorization


2 431, 513, 976, 187, 842
431, 513, 488, 187, 421

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

2 x 431 x 513 x 488 x 187 x 421 = 16989013259856

Therefore, the lowest common multiple of 431,513,976,187,842 is 16989013259856.

LCM Formula to Find Lowest Common Multiple of 431,513,976,187,842

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.

431 x 513 x 976 x 187 x 842 = 33978026519712

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.

431 : 1, 431

513 : 1, 3, 9, 19, 27, 57, 171, 513

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

187 : 1, 11, 17, 187

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,513,976,187,842, is 1.

Now, the common factors can be found like this.

431:431

513:3x 3x 3x 19

976:2x 2x 2x 2x 61

187:11x 17

842:2x 421

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

2 = 2

Therefore, the value for common factors is 2.

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 = 33978026519712/(1x2)

LCM = 33978026519712/2

LCM = 16989013259856

Thus, we can understand that the LCM of 431,513,976,187,842 is 16989013259856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 513, 976, 187, 842

1. What is the LCM of 431, 513, 976, 187, 842?

Answer: LCM of 431, 513, 976, 187, 842 is 16989013259856.

2. How to calculate the LCM of 431, 513, 976, 187, 842?

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 431, 513, 976, 187, 842.

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}.