Given numbers are 285,456,717,321

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

The LCM of 285,456,717,321 is 58306440.

Find LCM of 285,456,717,321 with Prime Factorization

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

3 x 19 x 5 x 8 x 239 x 107 = 58306440

Therefore, the lowest common multiple of 285,456,717,321 is 58306440.

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.

285 x 456 x 717 x 321 = 29911203720

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

717 : 1, 3, 239, 717

321 : 1, 3, 107, 321

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,456,717,321, is 3.

Now, the common factors can be found like this.

285:3x 5x 19

456:2x 2x 2x 3x 19

717:3x 239

321:3x 107

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

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 29911203720/(3x171)

LCM = 29911203720/513

LCM = 58306440

Thus, we can understand that the LCM of 285,456,717,321 is 58306440.

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

• LCM of 604, 275, 616, 174
• LCM of 671, 897, 956, 206
• LCM of 317, 206, 305, 333
• LCM of 984, 980, 507, 464
• LCM of 362, 679, 838, 308

1. What is the LCM of 285, 456, 717, 321?

Answer: LCM of 285, 456, 717, 321 is 58306440.

2. How to calculate the LCM of 285, 456, 717, 321?

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 285, 456, 717, 321.

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}.