Given numbers are 470,480,900,581

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

The LCM of 470,480,900,581 is 196610400.

Find LCM of 470,480,900,581 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 8 x 15 x 581 = 196610400

Therefore, the lowest common multiple of 470,480,900,581 is 196610400.

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 480 x 900 x 581 = 117966240000

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

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,480,900,581, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

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

900:2x 2x 3x 3x 5x 5

581:7x 83

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 117966240000/(1x600)

LCM = 117966240000/600

LCM = 196610400

Thus, we can understand that the LCM of 470,480,900,581 is 196610400.

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

• LCM of 194, 826, 937, 242
• LCM of 138, 979, 330, 432
• LCM of 757, 109, 353, 157
• LCM of 932, 952, 949, 932
• LCM of 746, 301, 780, 495

1. What is the LCM of 470, 480, 900, 581?

Answer: LCM of 470, 480, 900, 581 is 196610400.

2. How to calculate the LCM of 470, 480, 900, 581?

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, 480, 900, 581.

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}.