Given numbers are 728,320,464,771

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

The LCM of 728,320,464,771 is 651094080.

Find LCM of 728,320,464,771 with Prime Factorization

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

2 x 2 x 2 x 2 x 91 x 20 x 29 x 771 = 651094080

Therefore, the lowest common multiple of 728,320,464,771 is 651094080.

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 320 x 464 x 771 = 83340042240

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,320,464,771, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

320:2x 2x 2x 2x 2x 2x 5

464:2x 2x 2x 2x 29

771:3x 257

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 2 = 128

Therefore, the value for common factors is 128.

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 = 83340042240/(1x128)

LCM = 83340042240/128

LCM = 651094080

Thus, we can understand that the LCM of 728,320,464,771 is 651094080.

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

• LCM of 879, 500, 304, 687
• LCM of 319, 350, 441, 964
• LCM of 820, 830, 830, 210
• LCM of 287, 920, 760, 755
• LCM of 205, 907, 612, 503

1. What is the LCM of 728, 320, 464, 771?

Answer: LCM of 728, 320, 464, 771 is 651094080.

2. How to calculate the LCM of 728, 320, 464, 771?

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, 320, 464, 771.

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}.