Given numbers are 728,328,738,792,207

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

The LCM of 728,328,738,792,207 is 67963896.

Find LCM of 728,328,738,792,207 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 41 x 91 x 1 x 1 x 11 x 23 = 67963896

Therefore, the lowest common multiple of 728,328,738,792,207 is 67963896.

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 328 x 738 x 792 x 207 = 28890636622848

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,328,738,792,207, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

328:2x 2x 2x 41

738:2x 3x 3x 41

792:2x 2x 2x 3x 3x 11

207:3x 3x 23

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 3x 3x 3x 3x 41 = 425088

Therefore, the value for common factors is 425088.

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 = 28890636622848/(1x425088)

LCM = 28890636622848/425088

LCM = 67963896

Thus, we can understand that the LCM of 728,328,738,792,207 is 67963896.

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

• LCM of 816, 304, 491, 602, 219
• LCM of 185, 869, 989, 899, 225
• LCM of 497, 657, 889, 899, 821
• LCM of 735, 788, 482, 403, 946
• LCM of 723, 723, 163, 990, 111

1. What is the LCM of 728, 328, 738, 792, 207?

Answer: LCM of 728, 328, 738, 792, 207 is 67963896.

2. How to calculate the LCM of 728, 328, 738, 792, 207?

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, 328, 738, 792, 207.

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}.