Given numbers are 723,888,407,493

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

The LCM of 723,888,407,493 is 1160565384.

Find LCM of 723,888,407,493 with Prime Factorization

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

3 x 37 x 241 x 8 x 11 x 493 = 1160565384

Therefore, the lowest common multiple of 723,888,407,493 is 1160565384.

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.

723 x 888 x 407 x 493 = 128822757624

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.

723 : 1, 3, 241, 723

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

407 : 1, 11, 37, 407

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,888,407,493, is 1.

Now, the common factors can be found like this.

723:3x 241

888:2x 2x 2x 3x 37

407:11x 37

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 37 = 111

Therefore, the value for common factors is 111.

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 = 128822757624/(1x111)

LCM = 128822757624/111

LCM = 1160565384

Thus, we can understand that the LCM of 723,888,407,493 is 1160565384.

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

• LCM of 494, 752, 622, 747
• LCM of 288, 429, 809, 429
• LCM of 370, 168, 755, 895
• LCM of 290, 873, 339, 652
• LCM of 855, 690, 164, 340

1. What is the LCM of 723, 888, 407, 493?

Answer: LCM of 723, 888, 407, 493 is 1160565384.

2. How to calculate the LCM of 723, 888, 407, 493?

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 723, 888, 407, 493.

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}.