Given numbers are 728,279,687

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

The LCM of 728,279,687 is 46512648.

Find LCM of 728,279,687 with Prime Factorization

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

3 x 728 x 93 x 229 = 46512648

Therefore, the lowest common multiple of 728,279,687 is 46512648.

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 279 x 687 = 139537944

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

279 : 1, 3, 9, 31, 93, 279

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,279,687, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

279:3x 3x 31

687:3x 229

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

3 = 3

Therefore, the value for common factors is 3.

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 = 139537944/(1x3)

LCM = 139537944/3

LCM = 46512648

Thus, we can understand that the LCM of 728,279,687 is 46512648.

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

• LCM of 148, 519, 734
• LCM of 589, 578, 598
• LCM of 620, 604, 676
• LCM of 223, 297, 305
• LCM of 878, 547, 210

1. What is the LCM of 728, 279, 687?

Answer: LCM of 728, 279, 687 is 46512648.

2. How to calculate the LCM of 728, 279, 687?

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, 279, 687.

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}.