Given numbers are 504,717,214,440,901

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

The LCM of 504,717,214,440,901 is 638704087560.

Find LCM of 504,717,214,440,901 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 239 x 107 x 55 x 901 = 638704087560

Therefore, the lowest common multiple of 504,717,214,440,901 is 638704087560.

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.

504 x 717 x 214 x 440 x 901 = 30657796202880

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

717 : 1, 3, 239, 717

214 : 1, 2, 107, 214

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

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,717,214,440,901, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

717:3x 239

214:2x 107

440:2x 2x 2x 5x 11

901:17x 53

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 3 = 48

Therefore, the value for common factors is 48.

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 = 30657796202880/(1x48)

LCM = 30657796202880/48

LCM = 638704087560

Thus, we can understand that the LCM of 504,717,214,440,901 is 638704087560.

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

• LCM of 434, 482, 162, 792, 997
• LCM of 539, 158, 978, 660, 368
• LCM of 183, 905, 990, 695, 535
• LCM of 261, 561, 799, 252, 605
• LCM of 466, 907, 945, 738, 360

1. What is the LCM of 504, 717, 214, 440, 901?

Answer: LCM of 504, 717, 214, 440, 901 is 638704087560.

2. How to calculate the LCM of 504, 717, 214, 440, 901?

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 504, 717, 214, 440, 901.

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}.