Given numbers are 596,468,408,442

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

The LCM of 596,468,408,442 is 2370888.

Find LCM of 596,468,408,442 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 149 x 3 x 2 x 1 = 2370888

Therefore, the lowest common multiple of 596,468,408,442 is 2370888.

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.

596 x 468 x 408 x 442 = 50300759808

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.

596 : 1, 2, 4, 149, 298, 596

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,468,408,442, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

468:2x 2x 3x 3x 13

408:2x 2x 2x 3x 17

442:2x 13x 17

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 2x 3x 13x 17 = 10608

Therefore, the value for common factors is 10608.

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 = 50300759808/(2x10608)

LCM = 50300759808/21216

LCM = 2370888

Thus, we can understand that the LCM of 596,468,408,442 is 2370888.

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

• LCM of 717, 561, 262, 310
• LCM of 330, 946, 912, 793
• LCM of 940, 342, 797, 847
• LCM of 500, 264, 331, 773
• LCM of 153, 150, 962, 352

1. What is the LCM of 596, 468, 408, 442?

Answer: LCM of 596, 468, 408, 442 is 2370888.

2. How to calculate the LCM of 596, 468, 408, 442?

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 596, 468, 408, 442.

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}.