Given numbers are 204,675,390,555,942

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

The LCM of 204,675,390,555,942 is 3466230300.

Find LCM of 204,675,390,555,942 with Prime Factorization

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

2 x 3 x 5 x 34 x 45 x 13 x 37 x 157 = 3466230300

Therefore, the lowest common multiple of 204,675,390,555,942 is 3466230300.

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.

204 x 675 x 390 x 555 x 942 = 28076465430000

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

555 : 1, 3, 5, 15, 37, 111, 185, 555

942 : 1, 2, 3, 6, 157, 314, 471, 942

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,675,390,555,942, is 3.

Now, the common factors can be found like this.

204:2x 2x 3x 17

675:3x 3x 3x 5x 5

390:2x 3x 5x 13

555:3x 5x 37

942:2x 3x 157

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 3x 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 28076465430000/(3x2700)

LCM = 28076465430000/8100

LCM = 3466230300

Thus, we can understand that the LCM of 204,675,390,555,942 is 3466230300.

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

• LCM of 558, 114, 947, 665, 930
• LCM of 516, 230, 636, 523, 183
• LCM of 574, 362, 969, 174, 665
• LCM of 530, 157, 676, 195, 675
• LCM of 103, 532, 700, 671, 435

1. What is the LCM of 204, 675, 390, 555, 942?

Answer: LCM of 204, 675, 390, 555, 942 is 3466230300.

2. How to calculate the LCM of 204, 675, 390, 555, 942?

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 204, 675, 390, 555, 942.

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}.