Given numbers are 720,442,750,490,482

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

The LCM of 720,442,750,490,482 is 46976202000.

Find LCM of 720,442,750,490,482 with Prime Factorization

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

2 x 3 x 5 x 24 x 221 x 25 x 49 x 241 = 46976202000

Therefore, the lowest common multiple of 720,442,750,490,482 is 46976202000.

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.

720 x 442 x 750 x 490 x 482 = 56371442400000

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

442 : 1, 2, 13, 17, 26, 34, 221, 442

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

482 : 1, 2, 241, 482

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,442,750,490,482, is 2.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

442:2x 13x 17

750:2x 3x 5x 5x 5

490:2x 5x 7x 7

482:2x 241

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 = 56371442400000/(2x600)

LCM = 56371442400000/1200

LCM = 46976202000

Thus, we can understand that the LCM of 720,442,750,490,482 is 46976202000.

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

• LCM of 542, 425, 730, 788, 509
• LCM of 273, 120, 582, 590, 699
• LCM of 467, 224, 775, 493, 122
• LCM of 789, 822, 412, 278, 497
• LCM of 120, 604, 619, 697, 324

1. What is the LCM of 720, 442, 750, 490, 482?

Answer: LCM of 720, 442, 750, 490, 482 is 46976202000.

2. How to calculate the LCM of 720, 442, 750, 490, 482?

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 720, 442, 750, 490, 482.

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}.