Given numbers are 314,394,306,516,456

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

The LCM of 314,394,306,516,456 is 30929247432.

Find LCM of 314,394,306,516,456 with Prime Factorization

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

2 x 2 x 3 x 157 x 197 x 51 x 43 x 38 = 30929247432

Therefore, the lowest common multiple of 314,394,306,516,456 is 30929247432.

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.

314 x 394 x 306 x 516 x 456 = 8907623260416

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.

314 : 1, 2, 157, 314

394 : 1, 2, 197, 394

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,394,306,516,456, is 2.

Now, the common factors can be found like this.

314:2x 157

394:2x 197

306:2x 3x 3x 17

516:2x 2x 3x 43

456:2x 2x 2x 3x 19

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 3 = 144

Therefore, the value for common factors is 144.

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 = 8907623260416/(2x144)

LCM = 8907623260416/288

LCM = 30929247432

Thus, we can understand that the LCM of 314,394,306,516,456 is 30929247432.

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

• LCM of 566, 317, 597, 555, 847
• LCM of 636, 612, 704, 843, 680
• LCM of 154, 943, 929, 715, 312
• LCM of 597, 435, 180, 444, 432
• LCM of 855, 924, 108, 232, 520

1. What is the LCM of 314, 394, 306, 516, 456?

Answer: LCM of 314, 394, 306, 516, 456 is 30929247432.

2. How to calculate the LCM of 314, 394, 306, 516, 456?

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 314, 394, 306, 516, 456.

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}.