Given numbers are 470,250,589,660,574

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

The LCM of 470,250,589,660,574 is 131092846500.

Find LCM of 470,250,589,660,574 with Prime Factorization

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

2 x 5 x 47 x 25 x 589 x 66 x 287 = 131092846500

Therefore, the lowest common multiple of 470,250,589,660,574 is 131092846500.

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.

470 x 250 x 589 x 660 x 574 = 26218569300000

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.

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

589 : 1, 19, 31, 589

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,250,589,660,574, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

250:2x 5x 5x 5

589:19x 31

660:2x 2x 3x 5x 11

574:2x 7x 41

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 26218569300000/(1x200)

LCM = 26218569300000/200

LCM = 131092846500

Thus, we can understand that the LCM of 470,250,589,660,574 is 131092846500.

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

• LCM of 579, 641, 537, 770, 420
• LCM of 464, 127, 558, 211, 874
• LCM of 831, 122, 765, 940, 602
• LCM of 310, 500, 179, 262, 763
• LCM of 760, 652, 443, 740, 298

1. What is the LCM of 470, 250, 589, 660, 574?

Answer: LCM of 470, 250, 589, 660, 574 is 131092846500.

2. How to calculate the LCM of 470, 250, 589, 660, 574?

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 470, 250, 589, 660, 574.

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}.