Given numbers are 398,440,494,363,720

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

The LCM of 398,440,494,363,720 is 4282209360.

Find LCM of 398,440,494,363,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 199 x 1 x 247 x 11 x 6 = 4282209360

Therefore, the lowest common multiple of 398,440,494,363,720 is 4282209360.

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.

398 x 440 x 494 x 363 x 720 = 22610065420800

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.

398 : 1, 2, 199, 398

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

494 : 1, 2, 13, 19, 26, 38, 247, 494

363 : 1, 3, 11, 33, 121, 363

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,440,494,363,720, is 1.

Now, the common factors can be found like this.

398:2x 199

440:2x 2x 2x 5x 11

494:2x 13x 19

363:3x 11x 11

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

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 3x 5x 11 = 5280

Therefore, the value for common factors is 5280.

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 = 22610065420800/(1x5280)

LCM = 22610065420800/5280

LCM = 4282209360

Thus, we can understand that the LCM of 398,440,494,363,720 is 4282209360.

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

• LCM of 961, 843, 268, 951, 936
• LCM of 221, 883, 174, 384, 934
• LCM of 580, 880, 602, 773, 326
• LCM of 254, 237, 484, 513, 713
• LCM of 751, 851, 194, 346, 346

1. What is the LCM of 398, 440, 494, 363, 720?

Answer: LCM of 398, 440, 494, 363, 720 is 4282209360.

2. How to calculate the LCM of 398, 440, 494, 363, 720?

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 398, 440, 494, 363, 720.

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}.