Given numbers are 728,992,560,483

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

The LCM of 728,992,560,483 is 31143840.

Find LCM of 728,992,560,483 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 13 x 62 x 5 x 69 = 31143840

Therefore, the lowest common multiple of 728,992,560,483 is 31143840.

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 992 x 560 x 483 = 195334164480

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

483 : 1, 3, 7, 21, 23, 69, 161, 483

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,992,560,483, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

992:2x 2x 2x 2x 2x 31

560:2x 2x 2x 2x 5x 7

483:3x 7x 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 7x 7 = 6272

Therefore, the value for common factors is 6272.

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 = 195334164480/(1x6272)

LCM = 195334164480/6272

LCM = 31143840

Thus, we can understand that the LCM of 728,992,560,483 is 31143840.

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

• LCM of 691, 333, 848, 951
• LCM of 547, 304, 949, 307
• LCM of 953, 363, 719, 656
• LCM of 576, 459, 670, 978
• LCM of 213, 724, 543, 393

1. What is the LCM of 728, 992, 560, 483?

Answer: LCM of 728, 992, 560, 483 is 31143840.

2. How to calculate the LCM of 728, 992, 560, 483?

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, 992, 560, 483.

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}.