Given numbers are 224,194,494,432

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

The LCM of 224,194,494,432 is 144904032.

Find LCM of 224,194,494,432 with Prime Factorization

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

2 x 2 x 2 x 2 x 14 x 97 x 247 x 27 = 144904032

Therefore, the lowest common multiple of 224,194,494,432 is 144904032.

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.

224 x 194 x 494 x 432 = 9273858048

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

194 : 1, 2, 97, 194

494 : 1, 2, 13, 19, 26, 38, 247, 494

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,194,494,432, is 2.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

194:2x 97

494:2x 13x 19

432:2x 2x 2x 2x 3x 3x 3

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 2 = 32

Therefore, the value for common factors is 32.

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 = 9273858048/(2x32)

LCM = 9273858048/64

LCM = 144904032

Thus, we can understand that the LCM of 224,194,494,432 is 144904032.

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

• LCM of 966, 944, 301, 505
• LCM of 564, 331, 575, 210
• LCM of 983, 294, 212, 279
• LCM of 130, 832, 404, 751
• LCM of 441, 169, 688, 147

1. What is the LCM of 224, 194, 494, 432?

Answer: LCM of 224, 194, 494, 432 is 144904032.

2. How to calculate the LCM of 224, 194, 494, 432?

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 224, 194, 494, 432.

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}.