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LCM of 272, 285, 479, 257, 731

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


Find the LCM of 272, 285, 479, 257, 731 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 272, 285, 479, 257, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 272,285,479,257,731

Given numbers are 272,285,479,257,731

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

The LCM of 272,285,479,257,731 is 410346616080.

Find LCM of 272,285,479,257,731 with Prime Factorization


17 272, 285, 479, 257, 731
16, 285, 479, 257, 43

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

17 x 16 x 285 x 479 x 257 x 43 = 410346616080

Therefore, the lowest common multiple of 272,285,479,257,731 is 410346616080.

LCM Formula to Find Lowest Common Multiple of 272,285,479,257,731

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.

272 x 285 x 479 x 257 x 731 = 6975892473360

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

285 : 1, 3, 5, 15, 19, 57, 95, 285

479 : 1, 479

257 : 1, 257

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,285,479,257,731, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

285:3x 5x 19

479:479

257:257

731:17x 43

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

17 = 17

Therefore, the value for common factors is 17.

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 = 6975892473360/(1x17)

LCM = 6975892473360/17

LCM = 410346616080

Thus, we can understand that the LCM of 272,285,479,257,731 is 410346616080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 272, 285, 479, 257, 731

1. What is the LCM of 272, 285, 479, 257, 731?

Answer: LCM of 272, 285, 479, 257, 731 is 410346616080.

2. How to calculate the LCM of 272, 285, 479, 257, 731?

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 272, 285, 479, 257, 731.

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}.