Given numbers are 489,468,214,736

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

The LCM of 489,468,214,736 is 1501879392.

Find LCM of 489,468,214,736 with Prime Factorization

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

2 x 2 x 3 x 163 x 39 x 107 x 184 = 1501879392

Therefore, the lowest common multiple of 489,468,214,736 is 1501879392.

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 468 x 214 x 736 = 36045105408

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

214 : 1, 2, 107, 214

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,468,214,736, is 1.

Now, the common factors can be found like this.

489:3x 163

468:2x 2x 3x 3x 13

214:2x 107

736:2x 2x 2x 2x 2x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 36045105408/(1x24)

LCM = 36045105408/24

LCM = 1501879392

Thus, we can understand that the LCM of 489,468,214,736 is 1501879392.

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

• LCM of 890, 944, 508, 892
• LCM of 410, 560, 976, 305
• LCM of 173, 576, 543, 399
• LCM of 793, 168, 413, 807
• LCM of 353, 216, 729, 219

1. What is the LCM of 489, 468, 214, 736?

Answer: LCM of 489, 468, 214, 736 is 1501879392.

2. How to calculate the LCM of 489, 468, 214, 736?

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, 468, 214, 736.

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}.