Given numbers are 584,104,728

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

The LCM of 584,104,728 is 53144.

Find LCM of 584,104,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 73 x 1 x 7 = 53144

Therefore, the lowest common multiple of 584,104,728 is 53144.

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.

584 x 104 x 728 = 44215808

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.

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,104,728, is 8.

Now, the common factors can be found like this.

584:2x 2x 2x 73

104:2x 2x 2x 13

728:2x 2x 2x 7x 13

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 44215808/(8x104)

LCM = 44215808/832

LCM = 53144

Thus, we can understand that the LCM of 584,104,728 is 53144.

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

• LCM of 709, 754, 819
• LCM of 859, 610, 922
• LCM of 142, 368, 329
• LCM of 500, 894, 242
• LCM of 888, 133, 543

1. What is the LCM of 584, 104, 728?

Answer: LCM of 584, 104, 728 is 53144.

2. How to calculate the LCM of 584, 104, 728?

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 584, 104, 728.

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}.