Given numbers are 306,447,160,349,596

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

The LCM of 306,447,160,349,596 is 1272984480.

Find LCM of 306,447,160,349,596 with Prime Factorization

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

2 x 2 x 3 x 149 x 51 x 1 x 40 x 349 x 1 = 1272984480

Therefore, the lowest common multiple of 306,447,160,349,596 is 1272984480.

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 447 x 160 x 349 x 596 = 4552192500480

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

447 : 1, 3, 149, 447

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

349 : 1, 349

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,447,160,349,596, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

447:3x 149

160:2x 2x 2x 2x 2x 5

349:349

596:2x 2x 149

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 3x 149 = 3576

Therefore, the value for common factors is 3576.

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 = 4552192500480/(1x3576)

LCM = 4552192500480/3576

LCM = 1272984480

Thus, we can understand that the LCM of 306,447,160,349,596 is 1272984480.

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

• LCM of 209, 715, 966, 241, 666
• LCM of 699, 420, 674, 610, 417
• LCM of 463, 294, 110, 325, 342
• LCM of 241, 794, 652, 245, 160
• LCM of 287, 317, 166, 309, 612

1. What is the LCM of 306, 447, 160, 349, 596?

Answer: LCM of 306, 447, 160, 349, 596 is 1272984480.

2. How to calculate the LCM of 306, 447, 160, 349, 596?

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, 447, 160, 349, 596.

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}.