Given numbers are 728,440,786,964

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

The LCM of 728,440,786,964 is 3792308520.

Find LCM of 728,440,786,964 with Prime Factorization

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

2 x 2 x 2 x 91 x 55 x 393 x 241 = 3792308520

Therefore, the lowest common multiple of 728,440,786,964 is 3792308520.

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 440 x 786 x 964 = 242707745280

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

786 : 1, 2, 3, 6, 131, 262, 393, 786

964 : 1, 2, 4, 241, 482, 964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,440,786,964, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

440:2x 2x 2x 5x 11

786:2x 3x 131

964:2x 2x 241

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 2 = 32

Therefore, the value for common factors is 32.

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 = 242707745280/(2x32)

LCM = 242707745280/64

LCM = 3792308520

Thus, we can understand that the LCM of 728,440,786,964 is 3792308520.

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

• LCM of 382, 811, 815, 677
• LCM of 685, 769, 663, 692
• LCM of 987, 929, 670, 226
• LCM of 495, 723, 432, 936
• LCM of 699, 494, 661, 682

1. What is the LCM of 728, 440, 786, 964?

Answer: LCM of 728, 440, 786, 964 is 3792308520.

2. How to calculate the LCM of 728, 440, 786, 964?

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, 440, 786, 964.

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}.