Given numbers are 448,471,106,586

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

The LCM of 448,471,106,586 is 3276743232.

Find LCM of 448,471,106,586 with Prime Factorization

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

2 x 224 x 471 x 53 x 293 = 3276743232

Therefore, the lowest common multiple of 448,471,106,586 is 3276743232.

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.

448 x 471 x 106 x 586 = 13106972928

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.

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

471 : 1, 3, 157, 471

106 : 1, 2, 53, 106

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,471,106,586, is 1.

Now, the common factors can be found like this.

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

471:3x 157

106:2x 53

586:2x 293

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13106972928/(1x4)

LCM = 13106972928/4

LCM = 3276743232

Thus, we can understand that the LCM of 448,471,106,586 is 3276743232.

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

• LCM of 614, 947, 732, 968
• LCM of 398, 500, 122, 303
• LCM of 563, 544, 856, 335
• LCM of 470, 903, 786, 277
• LCM of 997, 324, 368, 510

1. What is the LCM of 448, 471, 106, 586?

Answer: LCM of 448, 471, 106, 586 is 3276743232.

2. How to calculate the LCM of 448, 471, 106, 586?

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 448, 471, 106, 586.

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}.