Given numbers are 580,480,352,729,375

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

The LCM of 580,480,352,729,375 is 930204000.

Find LCM of 580,480,352,729,375 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 1 x 11 x 243 x 25 = 930204000

Therefore, the lowest common multiple of 580,480,352,729,375 is 930204000.

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.

580 x 480 x 352 x 729 x 375 = 26789875200000

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

729 : 1, 3, 9, 27, 81, 243, 729

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,480,352,729,375, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

480:2x 2x 2x 2x 2x 3x 5

352:2x 2x 2x 2x 2x 11

729:3x 3x 3x 3x 3x 3

375:3x 5x 5x 5

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 3x 3x 5x 5 = 28800

Therefore, the value for common factors is 28800.

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 = 26789875200000/(1x28800)

LCM = 26789875200000/28800

LCM = 930204000

Thus, we can understand that the LCM of 580,480,352,729,375 is 930204000.

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

• LCM of 801, 777, 288, 469, 790
• LCM of 144, 324, 196, 859, 544
• LCM of 949, 285, 938, 700, 925
• LCM of 345, 474, 926, 792, 436
• LCM of 538, 798, 268, 681, 269

1. What is the LCM of 580, 480, 352, 729, 375?

Answer: LCM of 580, 480, 352, 729, 375 is 930204000.

2. How to calculate the LCM of 580, 480, 352, 729, 375?

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 580, 480, 352, 729, 375.

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}.