Given numbers are 869,582,365,584

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

The LCM of 869,582,365,584 is 738406680.

Find LCM of 869,582,365,584 with Prime Factorization

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

2 x 73 x 869 x 291 x 5 x 4 = 738406680

Therefore, the lowest common multiple of 869,582,365,584 is 738406680.

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.

869 x 582 x 365 x 584 = 107807375280

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.

869 : 1, 11, 79, 869

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

365 : 1, 5, 73, 365

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 869,582,365,584, is 1.

Now, the common factors can be found like this.

869:11x 79

582:2x 3x 97

365:5x 73

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 73 = 146

Therefore, the value for common factors is 146.

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 = 107807375280/(1x146)

LCM = 107807375280/146

LCM = 738406680

Thus, we can understand that the LCM of 869,582,365,584 is 738406680.

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

• LCM of 109, 265, 574, 578
• LCM of 866, 198, 723, 314
• LCM of 120, 618, 648, 561
• LCM of 804, 996, 658, 432
• LCM of 692, 898, 723, 486

1. What is the LCM of 869, 582, 365, 584?

Answer: LCM of 869, 582, 365, 584 is 738406680.

2. How to calculate the LCM of 869, 582, 365, 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 869, 582, 365, 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}.