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LCM of 283, 384, 442, 457

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


Find the LCM of 283, 384, 442, 457 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 283, 384, 442, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,384,442,457

Given numbers are 283,384,442,457

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

The LCM of 283,384,442,457 is 10975545984.

Find LCM of 283,384,442,457 with Prime Factorization


2 283, 384, 442, 457
283, 192, 221, 457

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

2 x 283 x 192 x 221 x 457 = 10975545984

Therefore, the lowest common multiple of 283,384,442,457 is 10975545984.

LCM Formula to Find Lowest Common Multiple of 283,384,442,457

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.

283 x 384 x 442 x 457 = 21951091968

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.

283 : 1, 283

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,384,442,457, is 1.

Now, the common factors can be found like this.

283:283

384:2x 2x 2x 2x 2x 2x 2x 3

442:2x 13x 17

457:457

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 = 21951091968/(1x2)

LCM = 21951091968/2

LCM = 10975545984

Thus, we can understand that the LCM of 283,384,442,457 is 10975545984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 384, 442, 457

1. What is the LCM of 283, 384, 442, 457?

Answer: LCM of 283, 384, 442, 457 is 10975545984.

2. How to calculate the LCM of 283, 384, 442, 457?

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 283, 384, 442, 457.

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}.