Given numbers are 304,182,110,351,212

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

The LCM of 304,182,110,351,212 is 2177295120.

Find LCM of 304,182,110,351,212 with Prime Factorization

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

2 x 2 x 13 x 76 x 7 x 55 x 27 x 53 = 2177295120

Therefore, the lowest common multiple of 304,182,110,351,212 is 2177295120.

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.

304 x 182 x 110 x 351 x 212 = 452877384960

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.

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

110 : 1, 2, 5, 10, 11, 22, 55, 110

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,182,110,351,212, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

182:2x 7x 13

110:2x 5x 11

351:3x 3x 3x 13

212:2x 2x 53

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 13 = 208

Therefore, the value for common factors is 208.

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 = 452877384960/(1x208)

LCM = 452877384960/208

LCM = 2177295120

Thus, we can understand that the LCM of 304,182,110,351,212 is 2177295120.

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

• LCM of 614, 354, 894, 358, 665
• LCM of 333, 245, 183, 949, 524
• LCM of 591, 487, 101, 779, 308
• LCM of 531, 872, 389, 895, 388
• LCM of 861, 109, 168, 573, 513

1. What is the LCM of 304, 182, 110, 351, 212?

Answer: LCM of 304, 182, 110, 351, 212 is 2177295120.

2. How to calculate the LCM of 304, 182, 110, 351, 212?

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 304, 182, 110, 351, 212.

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}.