Given numbers are 381,255,240,338,305

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

The LCM of 381,255,240,338,305 is 5341711440.

Find LCM of 381,255,240,338,305 with Prime Factorization

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

2 x 3 x 5 x 127 x 17 x 8 x 169 x 61 = 5341711440

Therefore, the lowest common multiple of 381,255,240,338,305 is 5341711440.

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.

381 x 255 x 240 x 338 x 305 = 2403770148000

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.

381 : 1, 3, 127, 381

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

338 : 1, 2, 13, 26, 169, 338

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,255,240,338,305, is 1.

Now, the common factors can be found like this.

381:3x 127

255:3x 5x 17

240:2x 2x 2x 2x 3x 5

338:2x 13x 13

305:5x 61

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 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 2403770148000/(1x450)

LCM = 2403770148000/450

LCM = 5341711440

Thus, we can understand that the LCM of 381,255,240,338,305 is 5341711440.

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

• LCM of 280, 188, 960, 885, 538
• LCM of 563, 443, 256, 143, 121
• LCM of 434, 672, 271, 145, 326
• LCM of 556, 980, 981, 815, 781
• LCM of 917, 668, 500, 619, 901

1. What is the LCM of 381, 255, 240, 338, 305?

Answer: LCM of 381, 255, 240, 338, 305 is 5341711440.

2. How to calculate the LCM of 381, 255, 240, 338, 305?

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 381, 255, 240, 338, 305.

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}.