Given numbers are 446,497,544,560

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

The LCM of 446,497,544,560 is 301460320.

Find LCM of 446,497,544,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 223 x 71 x 34 x 5 = 301460320

Therefore, the lowest common multiple of 446,497,544,560 is 301460320.

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.

446 x 497 x 544 x 560 = 67527111680

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.

446 : 1, 2, 223, 446

497 : 1, 7, 71, 497

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,497,544,560, is 1.

Now, the common factors can be found like this.

446:2x 223

497:7x 71

544:2x 2x 2x 2x 2x 17

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

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 7 = 224

Therefore, the value for common factors is 224.

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 = 67527111680/(1x224)

LCM = 67527111680/224

LCM = 301460320

Thus, we can understand that the LCM of 446,497,544,560 is 301460320.

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

• LCM of 625, 123, 600, 208
• LCM of 714, 356, 827, 317
• LCM of 727, 242, 156, 963
• LCM of 162, 646, 981, 735
• LCM of 153, 280, 441, 670

1. What is the LCM of 446, 497, 544, 560?

Answer: LCM of 446, 497, 544, 560 is 301460320.

2. How to calculate the LCM of 446, 497, 544, 560?

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 446, 497, 544, 560.

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}.