Given numbers are 321,582,142,584

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

The LCM of 321,582,142,584 is 1291064568.

Find LCM of 321,582,142,584 with Prime Factorization

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

2 x 3 x 107 x 97 x 71 x 292 = 1291064568

Therefore, the lowest common multiple of 321,582,142,584 is 1291064568.

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.

321 x 582 x 142 x 584 = 15492774816

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.

321 : 1, 3, 107, 321

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

142 : 1, 2, 71, 142

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,582,142,584, is 1.

Now, the common factors can be found like this.

321:3x 107

582:2x 3x 97

142:2x 71

584:2x 2x 2x 73

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 15492774816/(1x12)

LCM = 15492774816/12

LCM = 1291064568

Thus, we can understand that the LCM of 321,582,142,584 is 1291064568.

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

• LCM of 446, 512, 212, 200
• LCM of 552, 999, 963, 751
• LCM of 683, 630, 116, 341
• LCM of 431, 185, 723, 954
• LCM of 409, 487, 361, 368

1. What is the LCM of 321, 582, 142, 584?

Answer: LCM of 321, 582, 142, 584 is 1291064568.

2. How to calculate the LCM of 321, 582, 142, 584?

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 321, 582, 142, 584.

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}.