Given numbers are 804,507,642,365

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

The LCM of 804,507,642,365 is 5306637180.

Find LCM of 804,507,642,365 with Prime Factorization

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

2 x 3 x 134 x 169 x 107 x 365 = 5306637180

Therefore, the lowest common multiple of 804,507,642,365 is 5306637180.

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.

804 x 507 x 642 x 365 = 95519469240

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

507 : 1, 3, 13, 39, 169, 507

642 : 1, 2, 3, 6, 107, 214, 321, 642

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,507,642,365, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

507:3x 13x 13

642:2x 3x 107

365:5x 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 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 = 95519469240/(1x18)

LCM = 95519469240/18

LCM = 5306637180

Thus, we can understand that the LCM of 804,507,642,365 is 5306637180.

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

• LCM of 505, 707, 492, 348
• LCM of 850, 828, 593, 569
• LCM of 538, 402, 448, 995
• LCM of 231, 370, 822, 414
• LCM of 114, 280, 969, 785

1. What is the LCM of 804, 507, 642, 365?

Answer: LCM of 804, 507, 642, 365 is 5306637180.

2. How to calculate the LCM of 804, 507, 642, 365?

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 804, 507, 642, 365.

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}.