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LCM of 529, 433, 442, 323, 969

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


Find the LCM of 529, 433, 442, 323, 969 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 529, 433, 442, 323, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,433,442,323,969

Given numbers are 529,433,442,323,969

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

The LCM of 529,433,442,323,969 is 5770862058.

Find LCM of 529,433,442,323,969 with Prime Factorization


17 529, 433, 442, 323, 969
19 529, 433, 26, 19, 57
529, 433, 26, 1, 3

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

17 x 19 x 529 x 433 x 26 x 1 x 3 = 5770862058

Therefore, the lowest common multiple of 529,433,442,323,969 is 5770862058.

LCM Formula to Find Lowest Common Multiple of 529,433,442,323,969

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.

529 x 433 x 442 x 323 x 969 = 31687803560478

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.

529 : 1, 23, 529

433 : 1, 433

442 : 1, 2, 13, 17, 26, 34, 221, 442

323 : 1, 17, 19, 323

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,433,442,323,969, is 1.

Now, the common factors can be found like this.

529:23x 23

433:433

442:2x 13x 17

323:17x 19

969:3x 17x 19

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

17x 17x 19 = 5491

Therefore, the value for common factors is 5491.

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 = 31687803560478/(1x5491)

LCM = 31687803560478/5491

LCM = 5770862058

Thus, we can understand that the LCM of 529,433,442,323,969 is 5770862058.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 433, 442, 323, 969

1. What is the LCM of 529, 433, 442, 323, 969?

Answer: LCM of 529, 433, 442, 323, 969 is 5770862058.

2. How to calculate the LCM of 529, 433, 442, 323, 969?

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 529, 433, 442, 323, 969.

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}.