Given numbers are 287,205,321

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

The LCM of 287,205,321 is 460635.

Find LCM of 287,205,321 with Prime Factorization

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

41 x 7 x 5 x 321 = 460635

Therefore, the lowest common multiple of 287,205,321 is 460635.

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.

287 x 205 x 321 = 18886035

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.

287 : 1, 7, 41, 287

205 : 1, 5, 41, 205

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,205,321, is 1.

Now, the common factors can be found like this.

287:7x 41

205:5x 41

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.

41 = 41

Therefore, the value for common factors is 41.

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 = 18886035/(1x41)

LCM = 18886035/41

LCM = 460635

Thus, we can understand that the LCM of 287,205,321 is 460635.

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

• LCM of 991, 659, 266
• LCM of 107, 571, 533
• LCM of 432, 305, 442
• LCM of 453, 114, 105
• LCM of 422, 737, 363

1. What is the LCM of 287, 205, 321?

Answer: LCM of 287, 205, 321 is 460635.

2. How to calculate the LCM of 287, 205, 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 287, 205, 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}.