Given numbers are 214,983,952,368,984

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

The LCM of 214,983,952,368,984 is 566548621296.

Find LCM of 214,983,952,368,984 with Prime Factorization

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

2 x 2 x 2 x 107 x 983 x 119 x 46 x 123 = 566548621296

Therefore, the lowest common multiple of 214,983,952,368,984 is 566548621296.

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.

214 x 983 x 952 x 368 x 984 = 72518223525888

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.

214 : 1, 2, 107, 214

983 : 1, 983

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,983,952,368,984, is 1.

Now, the common factors can be found like this.

214:2x 107

983:983

952:2x 2x 2x 7x 17

368:2x 2x 2x 2x 23

984:2x 2x 2x 3x 41

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 72518223525888/(1x128)

LCM = 72518223525888/128

LCM = 566548621296

Thus, we can understand that the LCM of 214,983,952,368,984 is 566548621296.

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

• LCM of 354, 343, 348, 572, 797
• LCM of 477, 309, 423, 929, 164
• LCM of 242, 739, 969, 473, 570
• LCM of 414, 182, 267, 582, 963
• LCM of 957, 344, 249, 958, 126

1. What is the LCM of 214, 983, 952, 368, 984?

Answer: LCM of 214, 983, 952, 368, 984 is 566548621296.

2. How to calculate the LCM of 214, 983, 952, 368, 984?

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 214, 983, 952, 368, 984.

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}.