Given numbers are 596,284,804,668,756

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

The LCM of 596,284,804,668,756 is 89486533836.

Find LCM of 596,284,804,668,756 with Prime Factorization

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

2 x 2 x 3 x 149 x 71 x 67 x 167 x 63 = 89486533836

Therefore, the lowest common multiple of 596,284,804,668,756 is 89486533836.

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 284 x 804 x 668 x 756 = 68725657986048

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

284 : 1, 2, 4, 71, 142, 284

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

668 : 1, 2, 4, 167, 334, 668

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,284,804,668,756, is 4.

Now, the common factors can be found like this.

596:2x 2x 149

284:2x 2x 71

804:2x 2x 3x 67

668:2x 2x 167

756:2x 2x 3x 3x 3x 7

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 68725657986048/(4x192)

LCM = 68725657986048/768

LCM = 89486533836

Thus, we can understand that the LCM of 596,284,804,668,756 is 89486533836.

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

• LCM of 266, 488, 691, 583, 675
• LCM of 993, 144, 756, 705, 191
• LCM of 960, 942, 394, 789, 354
• LCM of 381, 103, 374, 797, 618
• LCM of 705, 756, 479, 551, 335

1. What is the LCM of 596, 284, 804, 668, 756?

Answer: LCM of 596, 284, 804, 668, 756 is 89486533836.

2. How to calculate the LCM of 596, 284, 804, 668, 756?

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, 284, 804, 668, 756.

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}.