Given numbers are 489,208,713,214,171

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

The LCM of 489,208,713,214,171 is 442303480944.

Find LCM of 489,208,713,214,171 with Prime Factorization

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

2 x 3 x 163 x 104 x 713 x 107 x 57 = 442303480944

Therefore, the lowest common multiple of 489,208,713,214,171 is 442303480944.

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 208 x 713 x 214 x 171 = 2653820885664

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

713 : 1, 23, 31, 713

214 : 1, 2, 107, 214

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,208,713,214,171, is 1.

Now, the common factors can be found like this.

489:3x 163

208:2x 2x 2x 2x 13

713:23x 31

214:2x 107

171:3x 3x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2653820885664/(1x6)

LCM = 2653820885664/6

LCM = 442303480944

Thus, we can understand that the LCM of 489,208,713,214,171 is 442303480944.

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

• LCM of 238, 587, 824, 772, 205
• LCM of 796, 346, 891, 917, 117
• LCM of 806, 450, 835, 622, 414
• LCM of 356, 847, 316, 622, 173
• LCM of 975, 162, 819, 159, 876

1. What is the LCM of 489, 208, 713, 214, 171?

Answer: LCM of 489, 208, 713, 214, 171 is 442303480944.

2. How to calculate the LCM of 489, 208, 713, 214, 171?

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, 208, 713, 214, 171.

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}.