Given numbers are 381,213,122,864

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

The LCM of 381,213,122,864 is 475231968.

Find LCM of 381,213,122,864 with Prime Factorization

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

2 x 3 x 127 x 71 x 61 x 144 = 475231968

Therefore, the lowest common multiple of 381,213,122,864 is 475231968.

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 213 x 122 x 864 = 8554175424

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

213 : 1, 3, 71, 213

122 : 1, 2, 61, 122

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,213,122,864, is 1.

Now, the common factors can be found like this.

381:3x 127

213:3x 71

122:2x 61

864:2x 2x 2x 2x 2x 3x 3x 3

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 3 = 18

Therefore, the value for common factors is 18.

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 = 8554175424/(1x18)

LCM = 8554175424/18

LCM = 475231968

Thus, we can understand that the LCM of 381,213,122,864 is 475231968.

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

• LCM of 635, 629, 200, 355
• LCM of 584, 622, 854, 672
• LCM of 384, 980, 209, 334
• LCM of 235, 545, 951, 779
• LCM of 751, 497, 641, 215

1. What is the LCM of 381, 213, 122, 864?

Answer: LCM of 381, 213, 122, 864 is 475231968.

2. How to calculate the LCM of 381, 213, 122, 864?

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, 213, 122, 864.

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}.