Given numbers are 489,473,344,409

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

The LCM of 489,473,344,409 is 756803784.

Find LCM of 489,473,344,409 with Prime Factorization

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

43 x 489 x 11 x 8 x 409 = 756803784

Therefore, the lowest common multiple of 489,473,344,409 is 756803784.

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 473 x 344 x 409 = 32542562712

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

473 : 1, 11, 43, 473

344 : 1, 2, 4, 8, 43, 86, 172, 344

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,473,344,409, is 1.

Now, the common factors can be found like this.

489:3x 163

473:11x 43

344:2x 2x 2x 43

409:409

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

43 = 43

Therefore, the value for common factors is 43.

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 = 32542562712/(1x43)

LCM = 32542562712/43

LCM = 756803784

Thus, we can understand that the LCM of 489,473,344,409 is 756803784.

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

• LCM of 154, 464, 467, 448
• LCM of 837, 913, 719, 376
• LCM of 575, 310, 208, 119
• LCM of 480, 805, 765, 903
• LCM of 593, 182, 740, 859

1. What is the LCM of 489, 473, 344, 409?

Answer: LCM of 489, 473, 344, 409 is 756803784.

2. How to calculate the LCM of 489, 473, 344, 409?

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, 473, 344, 409.

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}.