Given numbers are 687,44,584

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

The LCM of 687,44,584 is 4413288.

Find LCM of 687,44,584 with Prime Factorization

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

2 x 2 x 687 x 11 x 146 = 4413288

Therefore, the lowest common multiple of 687,44,584 is 4413288.

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.

687 x 44 x 584 = 17653152

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.

687 : 1, 3, 229, 687

44 : 1, 2, 4, 11, 22, 44

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 687,44,584, is 1.

Now, the common factors can be found like this.

687:3x 229

44:2x 2x 11

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 2 = 4

Therefore, the value for common factors is 4.

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 = 17653152/(1x4)

LCM = 17653152/4

LCM = 4413288

Thus, we can understand that the LCM of 687,44,584 is 4413288.

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

• LCM of 872, 31, 667
• LCM of 111, 82, 722
• LCM of 609, 54, 475
• LCM of 874, 77, 136
• LCM of 934, 68, 671

1. What is the LCM of 687, 44, 584?

Answer: LCM of 687, 44, 584 is 4413288.

2. How to calculate the LCM of 687, 44, 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 687, 44, 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}.