Given numbers are 560,812,753,192

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

The LCM of 560,812,753,192 is 48914880.

Find LCM of 560,812,753,192 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 5 x 29 x 251 x 4 = 48914880

Therefore, the lowest common multiple of 560,812,753,192 is 48914880.

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.

560 x 812 x 753 x 192 = 65741598720

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

753 : 1, 3, 251, 753

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,812,753,192, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

812:2x 2x 7x 29

753:3x 251

192:2x 2x 2x 2x 2x 2x 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 7 = 1344

Therefore, the value for common factors is 1344.

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 = 65741598720/(1x1344)

LCM = 65741598720/1344

LCM = 48914880

Thus, we can understand that the LCM of 560,812,753,192 is 48914880.

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

• LCM of 635, 175, 789, 506
• LCM of 464, 668, 714, 114
• LCM of 780, 152, 217, 573
• LCM of 997, 529, 448, 596
• LCM of 724, 437, 720, 384

1. What is the LCM of 560, 812, 753, 192?

Answer: LCM of 560, 812, 753, 192 is 48914880.

2. How to calculate the LCM of 560, 812, 753, 192?

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 560, 812, 753, 192.

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}.