Given numbers are 728,440,457,566,957

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

The LCM of 728,440,457,566,957 is 450521951880.

Find LCM of 728,440,457,566,957 with Prime Factorization

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

2 x 2 x 2 x 11 x 91 x 5 x 457 x 283 x 87 = 450521951880

Therefore, the lowest common multiple of 728,440,457,566,957 is 450521951880.

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.

728 x 440 x 457 x 566 x 957 = 79291863530880

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.

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

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

457 : 1, 457

566 : 1, 2, 283, 566

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,440,457,566,957, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

440:2x 2x 2x 5x 11

457:457

566:2x 283

957:3x 11x 29

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 11 = 176

Therefore, the value for common factors is 176.

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 = 79291863530880/(1x176)

LCM = 79291863530880/176

LCM = 450521951880

Thus, we can understand that the LCM of 728,440,457,566,957 is 450521951880.

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

• LCM of 227, 367, 100, 567, 966
• LCM of 751, 893, 867, 163, 828
• LCM of 884, 182, 596, 585, 192
• LCM of 786, 589, 215, 481, 215
• LCM of 618, 516, 775, 565, 871

1. What is the LCM of 728, 440, 457, 566, 957?

Answer: LCM of 728, 440, 457, 566, 957 is 450521951880.

2. How to calculate the LCM of 728, 440, 457, 566, 957?

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 728, 440, 457, 566, 957.

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}.