Given numbers are 728,445,728,894,994

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

The LCM of 728,445,728,894,994 is 10281518520.

Find LCM of 728,445,728,894,994 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 1 x 445 x 1 x 447 x 71 = 10281518520

Therefore, the lowest common multiple of 728,445,728,894,994 is 10281518520.

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 445 x 728 x 894 x 994 = 209578473511680

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

445 : 1, 5, 89, 445

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,445,728,894,994, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

445:5x 89

728:2x 2x 2x 7x 13

894:2x 3x 149

994:2x 7x 71

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 7x 7x 13 = 20384

Therefore, the value for common factors is 20384.

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 = 209578473511680/(1x20384)

LCM = 209578473511680/20384

LCM = 10281518520

Thus, we can understand that the LCM of 728,445,728,894,994 is 10281518520.

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

• LCM of 185, 414, 786, 606, 880
• LCM of 516, 300, 237, 375, 598
• LCM of 151, 200, 812, 521, 821
• LCM of 156, 710, 841, 332, 366
• LCM of 194, 611, 139, 988, 105

1. What is the LCM of 728, 445, 728, 894, 994?

Answer: LCM of 728, 445, 728, 894, 994 is 10281518520.

2. How to calculate the LCM of 728, 445, 728, 894, 994?

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, 445, 728, 894, 994.

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}.