Given numbers are 228,264,606,882,393

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

The LCM of 228,264,606,882,393 is 9755904312.

Find LCM of 228,264,606,882,393 with Prime Factorization

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

2 x 2 x 3 x 19 x 22 x 101 x 147 x 131 = 9755904312

Therefore, the lowest common multiple of 228,264,606,882,393 is 9755904312.

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.

228 x 264 x 606 x 882 x 393 = 12643651988352

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

606 : 1, 2, 3, 6, 101, 202, 303, 606

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

393 : 1, 3, 131, 393

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,264,606,882,393, is 3.

Now, the common factors can be found like this.

228:2x 2x 3x 19

264:2x 2x 2x 3x 11

606:2x 3x 101

882:2x 3x 3x 7x 7

393:3x 131

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 = 12643651988352/(3x432)

LCM = 12643651988352/1296

LCM = 9755904312

Thus, we can understand that the LCM of 228,264,606,882,393 is 9755904312.

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

• LCM of 794, 144, 178, 253, 822
• LCM of 773, 232, 539, 821, 222
• LCM of 244, 745, 401, 496, 691
• LCM of 547, 143, 587, 554, 966
• LCM of 753, 845, 520, 679, 800

1. What is the LCM of 228, 264, 606, 882, 393?

Answer: LCM of 228, 264, 606, 882, 393 is 9755904312.

2. How to calculate the LCM of 228, 264, 606, 882, 393?

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 228, 264, 606, 882, 393.

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}.