Given numbers are 728,442,227,415

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

The LCM of 728,442,227,415 is 1165881080.

Find LCM of 728,442,227,415 with Prime Factorization

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

2 x 13 x 28 x 17 x 227 x 415 = 1165881080

Therefore, the lowest common multiple of 728,442,227,415 is 1165881080.

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 442 x 227 x 415 = 30312908080

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

227 : 1, 227

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,442,227,415, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

442:2x 13x 17

227:227

415:5x 83

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 30312908080/(1x26)

LCM = 30312908080/26

LCM = 1165881080

Thus, we can understand that the LCM of 728,442,227,415 is 1165881080.

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

• LCM of 883, 752, 426, 942
• LCM of 350, 661, 856, 412
• LCM of 257, 505, 784, 525
• LCM of 589, 500, 492, 522
• LCM of 460, 901, 201, 804

1. What is the LCM of 728, 442, 227, 415?

Answer: LCM of 728, 442, 227, 415 is 1165881080.

2. How to calculate the LCM of 728, 442, 227, 415?

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, 442, 227, 415.

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}.