Given numbers are 728,457,595,504,561

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

The LCM of 728,457,595,504,561 is 2799636840.

Find LCM of 728,457,595,504,561 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 17 x 13 x 457 x 5 x 3 x 11 = 2799636840

Therefore, the lowest common multiple of 728,457,595,504,561 is 2799636840.

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 457 x 595 x 504 x 561 = 55970339705280

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

457 : 1, 457

595 : 1, 5, 7, 17, 35, 85, 119, 595

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,457,595,504,561, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

457:457

595:5x 7x 17

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

561:3x 11x 17

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 3x 7x 7x 17 = 19992

Therefore, the value for common factors is 19992.

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 = 55970339705280/(1x19992)

LCM = 55970339705280/19992

LCM = 2799636840

Thus, we can understand that the LCM of 728,457,595,504,561 is 2799636840.

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

• LCM of 265, 890, 725, 787, 829
• LCM of 715, 976, 550, 557, 496
• LCM of 678, 389, 389, 694, 274
• LCM of 777, 508, 962, 757, 579
• LCM of 113, 892, 616, 406, 329

1. What is the LCM of 728, 457, 595, 504, 561?

Answer: LCM of 728, 457, 595, 504, 561 is 2799636840.

2. How to calculate the LCM of 728, 457, 595, 504, 561?

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, 457, 595, 504, 561.

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}.