Given numbers are 304,283,540,440

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

The LCM of 304,283,540,440 is 127757520.

Find LCM of 304,283,540,440 with Prime Factorization

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

2 x 2 x 2 x 5 x 38 x 283 x 27 x 11 = 127757520

Therefore, the lowest common multiple of 304,283,540,440 is 127757520.

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 283 x 540 x 440 = 20441203200

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

283 : 1, 283

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,283,540,440, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

283:283

540:2x 2x 3x 3x 3x 5

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 5 = 160

Therefore, the value for common factors is 160.

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 = 20441203200/(1x160)

LCM = 20441203200/160

LCM = 127757520

Thus, we can understand that the LCM of 304,283,540,440 is 127757520.

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

• LCM of 963, 942, 781, 446
• LCM of 926, 186, 341, 265
• LCM of 465, 879, 736, 602
• LCM of 465, 601, 776, 589
• LCM of 576, 476, 807, 293

1. What is the LCM of 304, 283, 540, 440?

Answer: LCM of 304, 283, 540, 440 is 127757520.

2. How to calculate the LCM of 304, 283, 540, 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, 283, 540, 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}.