Given numbers are 484,772,660,635,288

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

The LCM of 484,772,660,635,288 is 4270796640.

Find LCM of 484,772,660,635,288 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 1 x 193 x 11 x 127 x 24 = 4270796640

Therefore, the lowest common multiple of 484,772,660,635,288 is 4270796640.

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.

484 x 772 x 660 x 635 x 288 = 45099612518400

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

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

635 : 1, 5, 127, 635

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,772,660,635,288, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

772:2x 2x 193

660:2x 2x 3x 5x 11

635:5x 127

288:2x 2x 2x 2x 2x 3x 3

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 3x 5x 11 = 10560

Therefore, the value for common factors is 10560.

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 = 45099612518400/(1x10560)

LCM = 45099612518400/10560

LCM = 4270796640

Thus, we can understand that the LCM of 484,772,660,635,288 is 4270796640.

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

• LCM of 499, 105, 361, 397, 733
• LCM of 465, 216, 772, 442, 444
• LCM of 431, 425, 102, 175, 420
• LCM of 688, 275, 163, 739, 997
• LCM of 970, 644, 609, 851, 123

1. What is the LCM of 484, 772, 660, 635, 288?

Answer: LCM of 484, 772, 660, 635, 288 is 4270796640.

2. How to calculate the LCM of 484, 772, 660, 635, 288?

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 484, 772, 660, 635, 288.

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}.