Given numbers are 728,560,296,268

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

The LCM of 728,560,296,268 is 18047120.

Find LCM of 728,560,296,268 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 10 x 37 x 67 = 18047120

Therefore, the lowest common multiple of 728,560,296,268 is 18047120.

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 560 x 296 x 268 = 32340439040

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

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

268 : 1, 2, 4, 67, 134, 268

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,560,296,268, is 4.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

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

296:2x 2x 2x 37

268:2x 2x 67

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 7 = 448

Therefore, the value for common factors is 448.

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 = 32340439040/(4x448)

LCM = 32340439040/1792

LCM = 18047120

Thus, we can understand that the LCM of 728,560,296,268 is 18047120.

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

• LCM of 279, 784, 458, 433
• LCM of 692, 954, 852, 876
• LCM of 145, 297, 770, 148
• LCM of 639, 459, 379, 725
• LCM of 130, 887, 821, 942

1. What is the LCM of 728, 560, 296, 268?

Answer: LCM of 728, 560, 296, 268 is 18047120.

2. How to calculate the LCM of 728, 560, 296, 268?

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, 560, 296, 268.

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}.