Given numbers are 304,238,880,440

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

The LCM of 304,238,880,440 is 1989680.

Find LCM of 304,238,880,440 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 11 x 19 x 119 x 1 x 1 = 1989680

Therefore, the lowest common multiple of 304,238,880,440 is 1989680.

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 238 x 880 x 440 = 28014694400

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,238,880,440, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

238:2x 7x 17

880:2x 2x 2x 2x 5x 11

440:2x 2x 2x 5x 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 2x 2x 5x 11 = 7040

Therefore, the value for common factors is 7040.

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 = 28014694400/(2x7040)

LCM = 28014694400/14080

LCM = 1989680

Thus, we can understand that the LCM of 304,238,880,440 is 1989680.

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

• LCM of 615, 826, 235, 524
• LCM of 819, 869, 862, 112
• LCM of 138, 407, 767, 251
• LCM of 790, 978, 533, 774
• LCM of 968, 448, 231, 981

1. What is the LCM of 304, 238, 880, 440?

Answer: LCM of 304, 238, 880, 440 is 1989680.

2. How to calculate the LCM of 304, 238, 880, 440?

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, 238, 880, 440.

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}.