Given numbers are 564,624,591,381,439

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

The LCM of 564,624,591,381,439 is 322119424848.

Find LCM of 564,624,591,381,439 with Prime Factorization

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

2 x 2 x 3 x 47 x 52 x 197 x 127 x 439 = 322119424848

Therefore, the lowest common multiple of 564,624,591,381,439 is 322119424848.

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.

564 x 624 x 591 x 381 x 439 = 34788897883584

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

591 : 1, 3, 197, 591

381 : 1, 3, 127, 381

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,624,591,381,439, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

624:2x 2x 2x 2x 3x 13

591:3x 197

381:3x 127

439:439

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 34788897883584/(1x108)

LCM = 34788897883584/108

LCM = 322119424848

Thus, we can understand that the LCM of 564,624,591,381,439 is 322119424848.

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

• LCM of 759, 103, 760, 659, 139
• LCM of 761, 987, 961, 459, 305
• LCM of 123, 759, 249, 213, 336
• LCM of 551, 185, 269, 688, 761
• LCM of 893, 987, 560, 372, 788

1. What is the LCM of 564, 624, 591, 381, 439?

Answer: LCM of 564, 624, 591, 381, 439 is 322119424848.

2. How to calculate the LCM of 564, 624, 591, 381, 439?

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 564, 624, 591, 381, 439.

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}.