Given numbers are 304,128,741,464

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

The LCM of 304,128,741,464 is 2750592.

Find LCM of 304,128,741,464 with Prime Factorization

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

2 x 2 x 2 x 2 x 19 x 1 x 8 x 39 x 29 = 2750592

Therefore, the lowest common multiple of 304,128,741,464 is 2750592.

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.

304 x 128 x 741 x 464 = 13378879488

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

128 : 1, 2, 4, 8, 16, 32, 64, 128

741 : 1, 3, 13, 19, 39, 57, 247, 741

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,128,741,464, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

128:2x 2x 2x 2x 2x 2x 2

741:3x 13x 19

464:2x 2x 2x 2x 29

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 2x 2x 19 = 4864

Therefore, the value for common factors is 4864.

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 = 13378879488/(1x4864)

LCM = 13378879488/4864

LCM = 2750592

Thus, we can understand that the LCM of 304,128,741,464 is 2750592.

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

• LCM of 513, 678, 570, 136
• LCM of 984, 669, 628, 627
• LCM of 627, 342, 434, 417
• LCM of 401, 717, 951, 969
• LCM of 831, 269, 663, 575

1. What is the LCM of 304, 128, 741, 464?

Answer: LCM of 304, 128, 741, 464 is 2750592.

2. How to calculate the LCM of 304, 128, 741, 464?

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 304, 128, 741, 464.

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}.