Given numbers are 300,214,985,214,442

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

The LCM of 300,214,985,214,442 is 1397537700.

Find LCM of 300,214,985,214,442 with Prime Factorization

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

2 x 5 x 107 x 30 x 1 x 197 x 1 x 221 = 1397537700

Therefore, the lowest common multiple of 300,214,985,214,442 is 1397537700.

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.

300 x 214 x 985 x 214 x 442 = 5981461356000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

214 : 1, 2, 107, 214

985 : 1, 5, 197, 985

214 : 1, 2, 107, 214

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,214,985,214,442, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

214:2x 107

985:5x 197

214:2x 107

442:2x 13x 17

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 5x 107 = 4280

Therefore, the value for common factors is 4280.

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 = 5981461356000/(1x4280)

LCM = 5981461356000/4280

LCM = 1397537700

Thus, we can understand that the LCM of 300,214,985,214,442 is 1397537700.

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

• LCM of 981, 609, 819, 405, 277
• LCM of 419, 584, 455, 752, 556
• LCM of 747, 562, 564, 806, 275
• LCM of 805, 466, 558, 991, 780
• LCM of 639, 782, 965, 705, 813

1. What is the LCM of 300, 214, 985, 214, 442?

Answer: LCM of 300, 214, 985, 214, 442 is 1397537700.

2. How to calculate the LCM of 300, 214, 985, 214, 442?

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 300, 214, 985, 214, 442.

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}.