Given numbers are 728,470,378,772,575

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

The LCM of 728,470,378,772,575 is 102522256200.

Find LCM of 728,470,378,772,575 with Prime Factorization

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

2 x 2 x 5 x 7 x 26 x 47 x 27 x 193 x 115 = 102522256200

Therefore, the lowest common multiple of 728,470,378,772,575 is 102522256200.

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.

728 x 470 x 378 x 772 x 575 = 57412463472000

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

470 : 1, 2, 5, 10, 47, 94, 235, 470

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

772 : 1, 2, 4, 193, 386, 772

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,470,378,772,575, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

470:2x 5x 47

378:2x 3x 3x 3x 7

772:2x 2x 193

575:5x 5x 23

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 5x 7 = 560

Therefore, the value for common factors is 560.

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 = 57412463472000/(1x560)

LCM = 57412463472000/560

LCM = 102522256200

Thus, we can understand that the LCM of 728,470,378,772,575 is 102522256200.

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

• LCM of 638, 524, 689, 568, 845
• LCM of 487, 882, 768, 496, 822
• LCM of 710, 799, 848, 861, 281
• LCM of 297, 496, 842, 454, 854
• LCM of 394, 600, 735, 833, 424

1. What is the LCM of 728, 470, 378, 772, 575?

Answer: LCM of 728, 470, 378, 772, 575 is 102522256200.

2. How to calculate the LCM of 728, 470, 378, 772, 575?

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 728, 470, 378, 772, 575.

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}.