Given numbers are 320,384,273,412,489

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

The LCM of 320,384,273,412,489 is 2933374080.

Find LCM of 320,384,273,412,489 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 91 x 103 x 163 = 2933374080

Therefore, the lowest common multiple of 320,384,273,412,489 is 2933374080.

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.

320 x 384 x 273 x 412 x 489 = 6758493880320

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

273 : 1, 3, 7, 13, 21, 39, 91, 273

412 : 1, 2, 4, 103, 206, 412

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,384,273,412,489, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

384:2x 2x 2x 2x 2x 2x 2x 3

273:3x 7x 13

412:2x 2x 103

489:3x 163

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 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 6758493880320/(1x2304)

LCM = 6758493880320/2304

LCM = 2933374080

Thus, we can understand that the LCM of 320,384,273,412,489 is 2933374080.

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

• LCM of 594, 680, 799, 581, 147
• LCM of 343, 922, 114, 535, 828
• LCM of 953, 727, 870, 740, 447
• LCM of 811, 269, 718, 855, 714
• LCM of 485, 481, 657, 422, 250

1. What is the LCM of 320, 384, 273, 412, 489?

Answer: LCM of 320, 384, 273, 412, 489 is 2933374080.

2. How to calculate the LCM of 320, 384, 273, 412, 489?

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 320, 384, 273, 412, 489.

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}.