Given numbers are 306,288,660,804

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

The LCM of 306,288,660,804 is 18041760.

Find LCM of 306,288,660,804 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 8 x 55 x 67 = 18041760

Therefore, the lowest common multiple of 306,288,660,804 is 18041760.

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.

306 x 288 x 660 x 804 = 46764241920

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,288,660,804, is 6.

Now, the common factors can be found like this.

306:2x 3x 3x 17

288:2x 2x 2x 2x 2x 3x 3

660:2x 2x 3x 5x 11

804:2x 2x 3x 67

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 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 46764241920/(6x432)

LCM = 46764241920/2592

LCM = 18041760

Thus, we can understand that the LCM of 306,288,660,804 is 18041760.

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

• LCM of 875, 533, 222, 436
• LCM of 485, 233, 458, 605
• LCM of 889, 489, 928, 982
• LCM of 540, 751, 728, 314
• LCM of 883, 764, 476, 125

1. What is the LCM of 306, 288, 660, 804?

Answer: LCM of 306, 288, 660, 804 is 18041760.

2. How to calculate the LCM of 306, 288, 660, 804?

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 306, 288, 660, 804.

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}.