Given numbers are 230,392,509,984

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

The LCM of 230,392,509,984 is 2822323560.

Find LCM of 230,392,509,984 with Prime Factorization

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

2 x 2 x 2 x 115 x 49 x 509 x 123 = 2822323560

Therefore, the lowest common multiple of 230,392,509,984 is 2822323560.

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.

230 x 392 x 509 x 984 = 45157176960

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

509 : 1, 509

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 230,392,509,984, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

392:2x 2x 2x 7x 7

509:509

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 2 = 16

Therefore, the value for common factors is 16.

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 = 45157176960/(1x16)

LCM = 45157176960/16

LCM = 2822323560

Thus, we can understand that the LCM of 230,392,509,984 is 2822323560.

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

• LCM of 349, 646, 691, 105
• LCM of 314, 504, 330, 847
• LCM of 677, 403, 105, 506
• LCM of 466, 831, 615, 362
• LCM of 285, 659, 300, 383

1. What is the LCM of 230, 392, 509, 984?

Answer: LCM of 230, 392, 509, 984 is 2822323560.

2. How to calculate the LCM of 230, 392, 509, 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 230, 392, 509, 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}.