Given numbers are 544,731,408,397,382

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

The LCM of 544,731,408,397,382 is 5321235552.

Find LCM of 544,731,408,397,382 with Prime Factorization

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

2 x 2 x 2 x 17 x 4 x 43 x 3 x 397 x 191 = 5321235552

Therefore, the lowest common multiple of 544,731,408,397,382 is 5321235552.

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.

544 x 731 x 408 x 397 x 382 = 24605393192448

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.

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

731 : 1, 17, 43, 731

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

397 : 1, 397

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,731,408,397,382, is 1.

Now, the common factors can be found like this.

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

731:17x 43

408:2x 2x 2x 3x 17

397:397

382:2x 191

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 17x 17 = 4624

Therefore, the value for common factors is 4624.

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 = 24605393192448/(1x4624)

LCM = 24605393192448/4624

LCM = 5321235552

Thus, we can understand that the LCM of 544,731,408,397,382 is 5321235552.

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

• LCM of 123, 496, 743, 987, 789
• LCM of 590, 556, 838, 947, 281
• LCM of 285, 966, 181, 893, 185
• LCM of 948, 837, 239, 852, 552
• LCM of 165, 823, 913, 998, 871

1. What is the LCM of 544, 731, 408, 397, 382?

Answer: LCM of 544, 731, 408, 397, 382 is 5321235552.

2. How to calculate the LCM of 544, 731, 408, 397, 382?

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 544, 731, 408, 397, 382.

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}.