Given numbers are 255,283,960,470

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

The LCM of 255,283,960,470 is 217072320.

Find LCM of 255,283,960,470 with Prime Factorization

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

2 x 3 x 5 x 17 x 283 x 32 x 47 = 217072320

Therefore, the lowest common multiple of 255,283,960,470 is 217072320.

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.

255 x 283 x 960 x 470 = 32560848000

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

283 : 1, 283

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,283,960,470, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

283:283

960:2x 2x 2x 2x 2x 2x 3x 5

470:2x 5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 32560848000/(1x150)

LCM = 32560848000/150

LCM = 217072320

Thus, we can understand that the LCM of 255,283,960,470 is 217072320.

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

• LCM of 929, 341, 205, 723
• LCM of 545, 344, 522, 529
• LCM of 391, 325, 332, 694
• LCM of 391, 299, 535, 290
• LCM of 642, 324, 222, 318

1. What is the LCM of 255, 283, 960, 470?

Answer: LCM of 255, 283, 960, 470 is 217072320.

2. How to calculate the LCM of 255, 283, 960, 470?

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 255, 283, 960, 470.

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}.