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LCM of 531, 187, 466, 252, 281

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


Find the LCM of 531, 187, 466, 252, 281 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 531, 187, 466, 252, 281. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,187,466,252,281

Given numbers are 531,187,466,252,281

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

The LCM of 531,187,466,252,281 is 182035629468.

Find LCM of 531,187,466,252,281 with Prime Factorization


2 531, 187, 466, 252, 281
3 531, 187, 233, 126, 281
3 177, 187, 233, 42, 281
59, 187, 233, 14, 281

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

2 x 3 x 3 x 59 x 187 x 233 x 14 x 281 = 182035629468

Therefore, the lowest common multiple of 531,187,466,252,281 is 182035629468.

LCM Formula to Find Lowest Common Multiple of 531,187,466,252,281

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.

531 x 187 x 466 x 252 x 281 = 3276641330424

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.

531 : 1, 3, 9, 59, 177, 531

187 : 1, 11, 17, 187

466 : 1, 2, 233, 466

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,187,466,252,281, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

187:11x 17

466:2x 233

252:2x 2x 3x 3x 7

281:281

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3276641330424/(1x18)

LCM = 3276641330424/18

LCM = 182035629468

Thus, we can understand that the LCM of 531,187,466,252,281 is 182035629468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 187, 466, 252, 281

1. What is the LCM of 531, 187, 466, 252, 281?

Answer: LCM of 531, 187, 466, 252, 281 is 182035629468.

2. How to calculate the LCM of 531, 187, 466, 252, 281?

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 531, 187, 466, 252, 281.

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}.