Given numbers are 728,494,128,624

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

The LCM of 728,494,128,624 is 663936.

Find LCM of 728,494,128,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 7 x 19 x 8 x 3 = 663936

Therefore, the lowest common multiple of 728,494,128,624 is 663936.

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 494 x 128 x 624 = 28724527104

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

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

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,494,128,624, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

494:2x 13x 19

128:2x 2x 2x 2x 2x 2x 2

624:2x 2x 2x 2x 3x 13

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 2x 2x 13x 13 = 21632

Therefore, the value for common factors is 21632.

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 = 28724527104/(2x21632)

LCM = 28724527104/43264

LCM = 663936

Thus, we can understand that the LCM of 728,494,128,624 is 663936.

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

• LCM of 970, 101, 356, 852
• LCM of 234, 330, 708, 625
• LCM of 671, 119, 644, 151
• LCM of 230, 181, 667, 887
• LCM of 681, 352, 291, 454

1. What is the LCM of 728, 494, 128, 624?

Answer: LCM of 728, 494, 128, 624 is 663936.

2. How to calculate the LCM of 728, 494, 128, 624?

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, 494, 128, 624.

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}.