Given numbers are 489,439,702,114,446

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

The LCM of 489,439,702,114,446 is 212837280318.

Find LCM of 489,439,702,114,446 with Prime Factorization

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

2 x 3 x 163 x 439 x 117 x 19 x 223 = 212837280318

Therefore, the lowest common multiple of 489,439,702,114,446 is 212837280318.

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.

489 x 439 x 702 x 114 x 446 = 7662142091448

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.

489 : 1, 3, 163, 489

439 : 1, 439

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

114 : 1, 2, 3, 6, 19, 38, 57, 114

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,439,702,114,446, is 1.

Now, the common factors can be found like this.

489:3x 163

439:439

702:2x 3x 3x 3x 13

114:2x 3x 19

446:2x 223

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 7662142091448/(1x36)

LCM = 7662142091448/36

LCM = 212837280318

Thus, we can understand that the LCM of 489,439,702,114,446 is 212837280318.

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

• LCM of 138, 459, 425, 585, 181
• LCM of 175, 136, 501, 158, 185
• LCM of 354, 596, 979, 520, 164
• LCM of 433, 713, 297, 794, 829
• LCM of 501, 293, 851, 767, 163

1. What is the LCM of 489, 439, 702, 114, 446?

Answer: LCM of 489, 439, 702, 114, 446 is 212837280318.

2. How to calculate the LCM of 489, 439, 702, 114, 446?

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 489, 439, 702, 114, 446.

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}.