Given numbers are 473,205,460,675,449

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

The LCM of 473,205,460,675,449 is 540733079700.

Find LCM of 473,205,460,675,449 with Prime Factorization

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

5 x 473 x 41 x 92 x 135 x 449 = 540733079700

Therefore, the lowest common multiple of 473,205,460,675,449 is 540733079700.

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.

473 x 205 x 460 x 675 x 449 = 13518326992500

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.

473 : 1, 11, 43, 473

205 : 1, 5, 41, 205

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,205,460,675,449, is 1.

Now, the common factors can be found like this.

473:11x 43

205:5x 41

460:2x 2x 5x 23

675:3x 3x 3x 5x 5

449:449

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 13518326992500/(1x25)

LCM = 13518326992500/25

LCM = 540733079700

Thus, we can understand that the LCM of 473,205,460,675,449 is 540733079700.

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

• LCM of 106, 626, 609, 165, 531
• LCM of 147, 957, 812, 314, 988
• LCM of 517, 715, 835, 602, 393
• LCM of 124, 489, 779, 360, 280
• LCM of 780, 384, 383, 646, 841

1. What is the LCM of 473, 205, 460, 675, 449?

Answer: LCM of 473, 205, 460, 675, 449 is 540733079700.

2. How to calculate the LCM of 473, 205, 460, 675, 449?

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 473, 205, 460, 675, 449.

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}.