Given numbers are 864,217,582,273

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

The LCM of 864,217,582,273 is 236422368.

Find LCM of 864,217,582,273 with Prime Factorization

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

2 x 3 x 7 x 144 x 31 x 97 x 13 = 236422368

Therefore, the lowest common multiple of 864,217,582,273 is 236422368.

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.

864 x 217 x 582 x 273 = 29789218368

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.

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

217 : 1, 7, 31, 217

582 : 1, 2, 3, 6, 97, 194, 291, 582

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,217,582,273, is 1.

Now, the common factors can be found like this.

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

217:7x 31

582:2x 3x 97

273:3x 7x 13

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 7 = 126

Therefore, the value for common factors is 126.

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 = 29789218368/(1x126)

LCM = 29789218368/126

LCM = 236422368

Thus, we can understand that the LCM of 864,217,582,273 is 236422368.

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

• LCM of 520, 308, 471, 411
• LCM of 995, 878, 563, 264
• LCM of 574, 159, 145, 177
• LCM of 687, 333, 999, 700
• LCM of 207, 251, 546, 622

1. What is the LCM of 864, 217, 582, 273?

Answer: LCM of 864, 217, 582, 273 is 236422368.

2. How to calculate the LCM of 864, 217, 582, 273?

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 864, 217, 582, 273.

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}.