Given numbers are 256,560,725,497,721

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

The LCM of 256,560,725,497,721 is 9501049600.

Find LCM of 256,560,725,497,721 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 16 x 1 x 145 x 71 x 103 = 9501049600

Therefore, the lowest common multiple of 256,560,725,497,721 is 9501049600.

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.

256 x 560 x 725 x 497 x 721 = 37244114432000

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

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

725 : 1, 5, 25, 29, 145, 725

497 : 1, 7, 71, 497

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,560,725,497,721, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

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

725:5x 5x 29

497:7x 71

721:7x 103

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 5x 7x 7 = 3920

Therefore, the value for common factors is 3920.

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 = 37244114432000/(1x3920)

LCM = 37244114432000/3920

LCM = 9501049600

Thus, we can understand that the LCM of 256,560,725,497,721 is 9501049600.

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

• LCM of 638, 863, 342, 427, 648
• LCM of 452, 552, 377, 620, 758
• LCM of 306, 851, 822, 830, 632
• LCM of 931, 531, 299, 415, 667
• LCM of 724, 472, 160, 185, 963

1. What is the LCM of 256, 560, 725, 497, 721?

Answer: LCM of 256, 560, 725, 497, 721 is 9501049600.

2. How to calculate the LCM of 256, 560, 725, 497, 721?

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 256, 560, 725, 497, 721.

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}.