Given numbers are 504,696,456,440

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

The LCM of 504,696,456,440 is 15273720.

Find LCM of 504,696,456,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 29 x 19 x 55 = 15273720

Therefore, the lowest common multiple of 504,696,456,440 is 15273720.

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 696 x 456 x 440 = 70381301760

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,696,456,440, is 8.

Now, the common factors can be found like this.

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

696:2x 2x 2x 3x 29

456:2x 2x 2x 3x 19

440:2x 2x 2x 5x 11

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 3 = 576

Therefore, the value for common factors is 576.

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 = 70381301760/(8x576)

LCM = 70381301760/4608

LCM = 15273720

Thus, we can understand that the LCM of 504,696,456,440 is 15273720.

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

• LCM of 613, 885, 136, 214
• LCM of 910, 297, 872, 615
• LCM of 653, 243, 987, 257
• LCM of 676, 711, 317, 414
• LCM of 119, 494, 224, 387

1. What is the LCM of 504, 696, 456, 440?

Answer: LCM of 504, 696, 456, 440 is 15273720.

2. How to calculate the LCM of 504, 696, 456, 440?

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, 696, 456, 440.

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}.