Given numbers are 728,468,570,334,589

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

The LCM of 728,468,570,334,589 is 3222371880.

Find LCM of 728,468,570,334,589 with Prime Factorization

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

2 x 2 x 3 x 13 x 19 x 14 x 3 x 5 x 167 x 31 = 3222371880

Therefore, the lowest common multiple of 728,468,570,334,589 is 3222371880.

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 468 x 570 x 334 x 589 = 38204441009280

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

334 : 1, 2, 167, 334

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,468,570,334,589, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

468:2x 2x 3x 3x 13

570:2x 3x 5x 19

334:2x 167

589:19x 31

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 3x 13x 19 = 11856

Therefore, the value for common factors is 11856.

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 = 38204441009280/(1x11856)

LCM = 38204441009280/11856

LCM = 3222371880

Thus, we can understand that the LCM of 728,468,570,334,589 is 3222371880.

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

• LCM of 591, 955, 474, 529, 474
• LCM of 677, 385, 219, 948, 727
• LCM of 876, 689, 951, 598, 855
• LCM of 937, 934, 270, 206, 810
• LCM of 552, 820, 545, 832, 682

1. What is the LCM of 728, 468, 570, 334, 589?

Answer: LCM of 728, 468, 570, 334, 589 is 3222371880.

2. How to calculate the LCM of 728, 468, 570, 334, 589?

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, 468, 570, 334, 589.

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}.