Given numbers are 596,138,456,552

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

The LCM of 596,138,456,552 is 1562712.

Find LCM of 596,138,456,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 149 x 1 x 19 x 1 = 1562712

Therefore, the lowest common multiple of 596,138,456,552 is 1562712.

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 138 x 456 x 552 = 20702808576

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,138,456,552, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

138:2x 3x 23

456:2x 2x 2x 3x 19

552:2x 2x 2x 3x 23

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 2x 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 20702808576/(2x6624)

LCM = 20702808576/13248

LCM = 1562712

Thus, we can understand that the LCM of 596,138,456,552 is 1562712.

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

• LCM of 234, 419, 837, 591
• LCM of 455, 744, 386, 256
• LCM of 655, 353, 727, 885
• LCM of 654, 996, 839, 807
• LCM of 717, 174, 500, 769

1. What is the LCM of 596, 138, 456, 552?

Answer: LCM of 596, 138, 456, 552 is 1562712.

2. How to calculate the LCM of 596, 138, 456, 552?

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, 138, 456, 552.

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}.