Given numbers are 315,449,732,209,606

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

The LCM of 315,449,732,209,606 is 728474545260.

Find LCM of 315,449,732,209,606 with Prime Factorization

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

2 x 3 x 105 x 449 x 122 x 209 x 101 = 728474545260

Therefore, the lowest common multiple of 315,449,732,209,606 is 728474545260.

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.

315 x 449 x 732 x 209 x 606 = 13112541814680

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

449 : 1, 449

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

209 : 1, 11, 19, 209

606 : 1, 2, 3, 6, 101, 202, 303, 606

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,449,732,209,606, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

449:449

732:2x 2x 3x 61

209:11x 19

606:2x 3x 101

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 13112541814680/(1x18)

LCM = 13112541814680/18

LCM = 728474545260

Thus, we can understand that the LCM of 315,449,732,209,606 is 728474545260.

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

• LCM of 846, 458, 697, 421, 227
• LCM of 295, 169, 547, 267, 115
• LCM of 618, 322, 628, 223, 749
• LCM of 241, 485, 707, 984, 303
• LCM of 814, 248, 259, 734, 400

1. What is the LCM of 315, 449, 732, 209, 606?

Answer: LCM of 315, 449, 732, 209, 606 is 728474545260.

2. How to calculate the LCM of 315, 449, 732, 209, 606?

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 315, 449, 732, 209, 606.

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}.