Given numbers are 489,331,170,272

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

The LCM of 489,331,170,272 is 220128240.

Find LCM of 489,331,170,272 with Prime Factorization

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

2 x 17 x 489 x 331 x 5 x 8 = 220128240

Therefore, the lowest common multiple of 489,331,170,272 is 220128240.

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 331 x 170 x 272 = 7484360160

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

331 : 1, 331

170 : 1, 2, 5, 10, 17, 34, 85, 170

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,331,170,272, is 1.

Now, the common factors can be found like this.

489:3x 163

331:331

170:2x 5x 17

272:2x 2x 2x 2x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 7484360160/(1x34)

LCM = 7484360160/34

LCM = 220128240

Thus, we can understand that the LCM of 489,331,170,272 is 220128240.

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

• LCM of 855, 945, 149, 275
• LCM of 537, 632, 213, 619
• LCM of 329, 236, 270, 123
• LCM of 329, 427, 850, 562
• LCM of 647, 583, 112, 465

1. What is the LCM of 489, 331, 170, 272?

Answer: LCM of 489, 331, 170, 272 is 220128240.

2. How to calculate the LCM of 489, 331, 170, 272?

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, 331, 170, 272.

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}.