Given numbers are 728,227,574,994,438

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

The LCM of 728,227,574,994,438 is 105352187304.

Find LCM of 728,227,574,994,438 with Prime Factorization

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

2 x 7 x 52 x 227 x 41 x 71 x 219 = 105352187304

Therefore, the lowest common multiple of 728,227,574,994,438 is 105352187304.

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 227 x 574 x 994 x 438 = 41298057423168

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

227 : 1, 227

574 : 1, 2, 7, 14, 41, 82, 287, 574

994 : 1, 2, 7, 14, 71, 142, 497, 994

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,227,574,994,438, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

227:227

574:2x 7x 41

994:2x 7x 71

438:2x 3x 73

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 41298057423168/(1x392)

LCM = 41298057423168/392

LCM = 105352187304

Thus, we can understand that the LCM of 728,227,574,994,438 is 105352187304.

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

• LCM of 256, 923, 233, 342, 697
• LCM of 687, 143, 355, 542, 356
• LCM of 154, 990, 479, 760, 320
• LCM of 727, 899, 325, 192, 153
• LCM of 608, 383, 673, 366, 517

1. What is the LCM of 728, 227, 574, 994, 438?

Answer: LCM of 728, 227, 574, 994, 438 is 105352187304.

2. How to calculate the LCM of 728, 227, 574, 994, 438?

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, 227, 574, 994, 438.

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}.