Given numbers are 689,728,494,572,439

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

The LCM of 689,728,494,572,439 is 3540120584.

Find LCM of 689,728,494,572,439 with Prime Factorization

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

2 x 2 x 13 x 53 x 14 x 19 x 11 x 439 = 3540120584

Therefore, the lowest common multiple of 689,728,494,572,439 is 3540120584.

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.

689 x 728 x 494 x 572 x 439 = 62221159384384

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.

689 : 1, 13, 53, 689

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

494 : 1, 2, 13, 19, 26, 38, 247, 494

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,728,494,572,439, is 1.

Now, the common factors can be found like this.

689:13x 53

728:2x 2x 2x 7x 13

494:2x 13x 19

572:2x 2x 11x 13

439:439

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 13x 13x 13 = 17576

Therefore, the value for common factors is 17576.

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 = 62221159384384/(1x17576)

LCM = 62221159384384/17576

LCM = 3540120584

Thus, we can understand that the LCM of 689,728,494,572,439 is 3540120584.

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

• LCM of 635, 677, 210, 213, 131
• LCM of 736, 410, 499, 698, 249
• LCM of 598, 667, 833, 989, 897
• LCM of 943, 900, 252, 748, 237
• LCM of 356, 881, 553, 341, 305

1. What is the LCM of 689, 728, 494, 572, 439?

Answer: LCM of 689, 728, 494, 572, 439 is 3540120584.

2. How to calculate the LCM of 689, 728, 494, 572, 439?

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 689, 728, 494, 572, 439.

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}.