Given numbers are 728,412,103,395

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

The LCM of 728,412,103,395 is 29618680.

Find LCM of 728,412,103,395 with Prime Factorization

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

2 x 2 x 103 x 182 x 1 x 1 x 395 = 29618680

Therefore, the lowest common multiple of 728,412,103,395 is 29618680.

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 412 x 103 x 395 = 12202896160

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

412 : 1, 2, 4, 103, 206, 412

103 : 1, 103

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,412,103,395, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

412:2x 2x 103

103:103

395:5x 79

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 103 = 412

Therefore, the value for common factors is 412.

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 = 12202896160/(1x412)

LCM = 12202896160/412

LCM = 29618680

Thus, we can understand that the LCM of 728,412,103,395 is 29618680.

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

• LCM of 675, 387, 967, 318
• LCM of 339, 887, 944, 716
• LCM of 910, 361, 690, 640
• LCM of 207, 163, 687, 996
• LCM of 325, 117, 901, 691

1. What is the LCM of 728, 412, 103, 395?

Answer: LCM of 728, 412, 103, 395 is 29618680.

2. How to calculate the LCM of 728, 412, 103, 395?

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, 412, 103, 395.

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}.