Given numbers are 212,144,304,579,460

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

The LCM of 212,144,304,579,460 is 3218452560.

Find LCM of 212,144,304,579,460 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 53 x 3 x 19 x 193 x 115 = 3218452560

Therefore, the lowest common multiple of 212,144,304,579,460 is 3218452560.

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.

212 x 144 x 304 x 579 x 460 = 2471771566080

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.

212 : 1, 2, 4, 53, 106, 212

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

579 : 1, 3, 193, 579

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,144,304,579,460, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

144:2x 2x 2x 2x 3x 3

304:2x 2x 2x 2x 19

579:3x 193

460:2x 2x 5x 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 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 2471771566080/(1x768)

LCM = 2471771566080/768

LCM = 3218452560

Thus, we can understand that the LCM of 212,144,304,579,460 is 3218452560.

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

• LCM of 762, 627, 281, 843, 210
• LCM of 230, 942, 854, 679, 864
• LCM of 243, 511, 857, 455, 571
• LCM of 651, 150, 214, 101, 415
• LCM of 617, 877, 265, 778, 836

1. What is the LCM of 212, 144, 304, 579, 460?

Answer: LCM of 212, 144, 304, 579, 460 is 3218452560.

2. How to calculate the LCM of 212, 144, 304, 579, 460?

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 212, 144, 304, 579, 460.

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}.