Given numbers are 728,832,323,247,793

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

The LCM of 728,832,323,247,793 is 114750272.

Find LCM of 728,832,323,247,793 with Prime Factorization

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

2 x 2 x 2 x 13 x 19 x 7 x 8 x 17 x 1 x 61 = 114750272

Therefore, the lowest common multiple of 728,832,323,247,793 is 114750272.

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 832 x 323 x 247 x 793 = 38320164832768

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

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

323 : 1, 17, 19, 323

247 : 1, 13, 19, 247

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,832,323,247,793, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

832:2x 2x 2x 2x 2x 2x 13

323:17x 19

247:13x 19

793:13x 61

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 13x 13x 13x 19 = 333944

Therefore, the value for common factors is 333944.

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 = 38320164832768/(1x333944)

LCM = 38320164832768/333944

LCM = 114750272

Thus, we can understand that the LCM of 728,832,323,247,793 is 114750272.

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

• LCM of 214, 267, 613, 650, 550
• LCM of 587, 279, 877, 650, 465
• LCM of 538, 917, 603, 923, 882
• LCM of 777, 740, 742, 849, 351
• LCM of 205, 657, 237, 521, 422

1. What is the LCM of 728, 832, 323, 247, 793?

Answer: LCM of 728, 832, 323, 247, 793 is 114750272.

2. How to calculate the LCM of 728, 832, 323, 247, 793?

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, 832, 323, 247, 793.

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}.