Given numbers are 994,138,432,189,903

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

The LCM of 994,138,432,189,903 is 212342256.

Find LCM of 994,138,432,189,903 with Prime Factorization

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

2 x 3 x 3 x 3 x 7 x 71 x 23 x 8 x 1 x 43 = 212342256

Therefore, the lowest common multiple of 994,138,432,189,903 is 212342256.

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.

994 x 138 x 432 x 189 x 903 = 10113436968768

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.

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,138,432,189,903, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

138:2x 3x 23

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

189:3x 3x 3x 7

903:3x 7x 43

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 3x 3x 3x 3x 3x 7x 7 = 47628

Therefore, the value for common factors is 47628.

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 = 10113436968768/(1x47628)

LCM = 10113436968768/47628

LCM = 212342256

Thus, we can understand that the LCM of 994,138,432,189,903 is 212342256.

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

• LCM of 635, 540, 514, 732, 108
• LCM of 183, 353, 910, 742, 685
• LCM of 277, 322, 835, 895, 372
• LCM of 459, 621, 311, 569, 793
• LCM of 302, 788, 984, 950, 360

1. What is the LCM of 994, 138, 432, 189, 903?

Answer: LCM of 994, 138, 432, 189, 903 is 212342256.

2. How to calculate the LCM of 994, 138, 432, 189, 903?

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 994, 138, 432, 189, 903.

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}.