Given numbers are 120,484,194,846,396

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

The LCM of 120,484,194,846,396 is 198590040.

Find LCM of 120,484,194,846,396 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 10 x 1 x 97 x 47 x 11 = 198590040

Therefore, the lowest common multiple of 120,484,194,846,396 is 198590040.

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.

120 x 484 x 194 x 846 x 396 = 3774799480320

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

194 : 1, 2, 97, 194

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,484,194,846,396, is 2.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

484:2x 2x 11x 11

194:2x 97

846:2x 3x 3x 47

396:2x 2x 3x 3x 11

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 3x 3x 3x 11 = 9504

Therefore, the value for common factors is 9504.

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 = 3774799480320/(2x9504)

LCM = 3774799480320/19008

LCM = 198590040

Thus, we can understand that the LCM of 120,484,194,846,396 is 198590040.

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

• LCM of 924, 653, 225, 911, 729
• LCM of 994, 425, 316, 257, 279
• LCM of 169, 311, 961, 827, 251
• LCM of 322, 776, 206, 508, 191
• LCM of 644, 561, 591, 200, 853

1. What is the LCM of 120, 484, 194, 846, 396?

Answer: LCM of 120, 484, 194, 846, 396 is 198590040.

2. How to calculate the LCM of 120, 484, 194, 846, 396?

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 120, 484, 194, 846, 396.

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}.