Given numbers are 442,544,612,964,214

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

The LCM of 442,544,612,964,214 is 1641290976.

Find LCM of 442,544,612,964,214 with Prime Factorization

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

2 x 2 x 17 x 13 x 8 x 9 x 241 x 107 = 1641290976

Therefore, the lowest common multiple of 442,544,612,964,214 is 1641290976.

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.

442 x 544 x 612 x 964 x 214 = 30357317892096

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.

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

964 : 1, 2, 4, 241, 482, 964

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,544,612,964,214, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

544:2x 2x 2x 2x 2x 17

612:2x 2x 3x 3x 17

964:2x 2x 241

214:2x 107

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 17x 17 = 9248

Therefore, the value for common factors is 9248.

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 = 30357317892096/(2x9248)

LCM = 30357317892096/18496

LCM = 1641290976

Thus, we can understand that the LCM of 442,544,612,964,214 is 1641290976.

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

• LCM of 597, 371, 849, 593, 254
• LCM of 330, 279, 498, 682, 216
• LCM of 268, 187, 802, 771, 358
• LCM of 679, 464, 253, 996, 313
• LCM of 588, 228, 263, 775, 629

1. What is the LCM of 442, 544, 612, 964, 214?

Answer: LCM of 442, 544, 612, 964, 214 is 1641290976.

2. How to calculate the LCM of 442, 544, 612, 964, 214?

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 442, 544, 612, 964, 214.

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}.