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LCM of 928, 429, 637, 853, 521

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


Find the LCM of 928, 429, 637, 853, 521 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 928, 429, 637, 853, 521. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,429,637,853,521

Given numbers are 928,429,637,853,521

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

The LCM of 928,429,637,853,521 is 8669381264544.

Find LCM of 928,429,637,853,521 with Prime Factorization


13 928, 429, 637, 853, 521
928, 33, 49, 853, 521

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

13 x 928 x 33 x 49 x 853 x 521 = 8669381264544

Therefore, the lowest common multiple of 928,429,637,853,521 is 8669381264544.

LCM Formula to Find Lowest Common Multiple of 928,429,637,853,521

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.

928 x 429 x 637 x 853 x 521 = 112701956439072

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

429 : 1, 3, 11, 13, 33, 39, 143, 429

637 : 1, 7, 13, 49, 91, 637

853 : 1, 853

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,429,637,853,521, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

429:3x 11x 13

637:7x 7x 13

853:853

521:521

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 = 112701956439072/(1x13)

LCM = 112701956439072/13

LCM = 8669381264544

Thus, we can understand that the LCM of 928,429,637,853,521 is 8669381264544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 429, 637, 853, 521

1. What is the LCM of 928, 429, 637, 853, 521?

Answer: LCM of 928, 429, 637, 853, 521 is 8669381264544.

2. How to calculate the LCM of 928, 429, 637, 853, 521?

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 928, 429, 637, 853, 521.

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}.