Given numbers are 198,432,578,996

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

The LCM of 198,432,578,996 is 113986224.

Find LCM of 198,432,578,996 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 12 x 289 x 83 = 113986224

Therefore, the lowest common multiple of 198,432,578,996 is 113986224.

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.

198 x 432 x 578 x 996 = 49242048768

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

578 : 1, 2, 17, 34, 289, 578

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,432,578,996, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

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

578:2x 17x 17

996:2x 2x 3x 83

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 49242048768/(2x216)

LCM = 49242048768/432

LCM = 113986224

Thus, we can understand that the LCM of 198,432,578,996 is 113986224.

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

• LCM of 362, 666, 579, 136
• LCM of 741, 429, 768, 179
• LCM of 695, 612, 363, 988
• LCM of 826, 492, 506, 640
• LCM of 153, 788, 884, 548

1. What is the LCM of 198, 432, 578, 996?

Answer: LCM of 198, 432, 578, 996 is 113986224.

2. How to calculate the LCM of 198, 432, 578, 996?

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 198, 432, 578, 996.

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}.