Given numbers are 271,406,646,448

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

The LCM of 271,406,646,448 is 1137228736.

Find LCM of 271,406,646,448 with Prime Factorization

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

2 x 7 x 271 x 29 x 323 x 32 = 1137228736

Therefore, the lowest common multiple of 271,406,646,448 is 1137228736.

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.

271 x 406 x 646 x 448 = 31842404608

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.

271 : 1, 271

406 : 1, 2, 7, 14, 29, 58, 203, 406

646 : 1, 2, 17, 19, 34, 38, 323, 646

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,406,646,448, is 1.

Now, the common factors can be found like this.

271:271

406:2x 7x 29

646:2x 17x 19

448:2x 2x 2x 2x 2x 2x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 31842404608/(1x28)

LCM = 31842404608/28

LCM = 1137228736

Thus, we can understand that the LCM of 271,406,646,448 is 1137228736.

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

• LCM of 221, 887, 500, 256
• LCM of 538, 882, 556, 369
• LCM of 469, 242, 404, 117
• LCM of 709, 603, 231, 396
• LCM of 131, 824, 274, 877

1. What is the LCM of 271, 406, 646, 448?

Answer: LCM of 271, 406, 646, 448 is 1137228736.

2. How to calculate the LCM of 271, 406, 646, 448?

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 271, 406, 646, 448.

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}.