Given numbers are 504,727,350,493,864

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

The LCM of 504,727,350,493,864 is 54191743200.

Find LCM of 504,727,350,493,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 1 x 727 x 25 x 493 x 12 = 54191743200

Therefore, the lowest common multiple of 504,727,350,493,864 is 54191743200.

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 727 x 350 x 493 x 864 = 54625277145600

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

727 : 1, 727

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

493 : 1, 17, 29, 493

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,727,350,493,864, is 1.

Now, the common factors can be found like this.

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

727:727

350:2x 5x 5x 7

493:17x 29

864:2x 2x 2x 2x 2x 3x 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 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 54625277145600/(1x1008)

LCM = 54625277145600/1008

LCM = 54191743200

Thus, we can understand that the LCM of 504,727,350,493,864 is 54191743200.

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

• LCM of 429, 933, 193, 364, 820
• LCM of 635, 505, 556, 814, 469
• LCM of 299, 401, 585, 649, 383
• LCM of 743, 769, 342, 772, 410
• LCM of 780, 378, 254, 947, 423

1. What is the LCM of 504, 727, 350, 493, 864?

Answer: LCM of 504, 727, 350, 493, 864 is 54191743200.

2. How to calculate the LCM of 504, 727, 350, 493, 864?

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, 727, 350, 493, 864.

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}.