Given numbers are 728,366,832,671

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

The LCM of 728,366,832,671 is 11723712.

Find LCM of 728,366,832,671 with Prime Factorization

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

2 x 2 x 2 x 13 x 61 x 7 x 3 x 8 x 11 = 11723712

Therefore, the lowest common multiple of 728,366,832,671 is 11723712.

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 366 x 832 x 671 = 148750457856

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,366,832,671, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

366:2x 3x 61

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

671:11x 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 2x 13x 61 = 12688

Therefore, the value for common factors is 12688.

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 = 148750457856/(1x12688)

LCM = 148750457856/12688

LCM = 11723712

Thus, we can understand that the LCM of 728,366,832,671 is 11723712.

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

• LCM of 847, 208, 321, 390
• LCM of 215, 122, 314, 196
• LCM of 513, 819, 518, 655
• LCM of 629, 551, 360, 658
• LCM of 246, 627, 294, 763

1. What is the LCM of 728, 366, 832, 671?

Answer: LCM of 728, 366, 832, 671 is 11723712.

2. How to calculate the LCM of 728, 366, 832, 671?

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, 366, 832, 671.

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}.