Given numbers are 257,224,272,680,563

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

The LCM of 257,224,272,680,563 is 2754916640.

Find LCM of 257,224,272,680,563 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 257 x 14 x 1 x 5 x 563 = 2754916640

Therefore, the lowest common multiple of 257,224,272,680,563 is 2754916640.

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.

257 x 224 x 272 x 680 x 563 = 5994698608640

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.

257 : 1, 257

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,224,272,680,563, is 1.

Now, the common factors can be found like this.

257:257

224:2x 2x 2x 2x 2x 7

272:2x 2x 2x 2x 17

680:2x 2x 2x 5x 17

563:563

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

2x 2x 2x 2x 2x 2x 2x 17 = 2176

Therefore, the value for common factors is 2176.

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 = 5994698608640/(1x2176)

LCM = 5994698608640/2176

LCM = 2754916640

Thus, we can understand that the LCM of 257,224,272,680,563 is 2754916640.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 753, 689, 737, 286, 434
• LCM of 312, 481, 666, 852, 664
• LCM of 123, 366, 991, 936, 262
• LCM of 356, 645, 714, 711, 843
• LCM of 410, 678, 893, 594, 158

1. What is the LCM of 257, 224, 272, 680, 563?

Answer: LCM of 257, 224, 272, 680, 563 is 2754916640.

2. How to calculate the LCM of 257, 224, 272, 680, 563?

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 257, 224, 272, 680, 563.

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}.